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3 years ago

Solve for X. -3x-8+6x=7

Mathematics

2 answers:

Darina [25.2K]3 years ago

7 0

Answer:

x=5

Step-by-step explanation:

1. Combine like terms to simplify the equation.

Combining like terms means to combine anything that has the same variable, degree, or no variable at all.

-3x and +6x are like terms, for example because they both have an x.

Add them together to get 3x.

2. Rewrite the equation as the simplified version of 3x-8=7.

3. Add 8 to both sides to cancel out 8 on the left side.

3x=15.

4. Divide by 3 to isolate x.

x=5

azamat3 years ago

4 0

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3x - 8 + 6x = 7

Step 2: Solve for x

Combine like terms: 3x - 8 = 7
Add 8 on both sides: 3x = 15
Divide 3 on both sides: x = 5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute: -3(5) - 8 + 6(5) = 7
Multiply: -15 - 8 + 30 = 7
Subtract: -23 + 30 = 7
Add: 7 = 7

Here we see that 7 does indeed equal 7.

∴ x = 5 is a solution of the equation.

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The length of Rebecca’s rectangular garden was two times the width “w”. She increased the length and width of the garden so that

Damm [24]

Answer:

rebecca increased the length by 3 and the width by 2

Step-by-step explanation:

First we need to find the length and width by factorizing the expressio ofr the area;

A = 2w^2+7w+6

A = 2w^2+4w+3w+6

A = 2w(w+2)+3(w+2)

A = (2w+3)(w+2)

Since l = 2w

Length = 2w+3

width = w+2

This shows that rebecca increased the length by 3 and the width by 2

6 0

3 years ago

Can someone help me find out what is 48y-24

Maksim231197 [3]

Answer: 24(2y−1)

Step-by-step explanation:

Factor 48y−24

48y−24

=24(2y−1)

Answer:

24(2y−1)

3 0

3 years ago

Read 2 more answers

The angle 118 degrees is also equal to

LekaFEV [45]

I don't understand your question

8 0

4 years ago

What is X? I literally forgot how to do this lol

sdas [7]

Step-by-step explanation:

A straight line has an angle of 180

132+(2x+3)=180

2x+3=48

2x=45

x=45/2

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4 0

3 years ago

Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.

DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

$|E \cup F| = |E| + |F| - |E \cap F|$

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

$|A \cap B \cap C| = 5$

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

$|B \cap C| = 11$

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0

3 years ago