All categories

3 years ago

What is the solution set of the equation x + 6 = 2(x + 3) - x?

Mathematics

1 answer:

Svetach [21]3 years ago

6 0

Answer:

x = all real numbers

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

x + 6 = 2(x + 3) - x

Step 2: Solve for x

[Addition Property of Equality] Add x on both sides: 2x + 6 = 2(x + 3)
[Distributive Property] Distribute 2: 2x + 6 = 2x + 6

Here we see that both sides are identical.

∴ our solution is all real numbers.

You might be interested in

A farmer wants to fence in a rectangular field that encloses 3600 square feet. One side of the field is along a river and does n

andriy [413]

Answer:

C(x) = $\$3.50(\frac{x^2+7200}{x})$

Step-by-step explanation:

Data provided in the question:

Area of the field = 3600 square feet

Fencing charges = $3.50 per foot

Let the side along the river be 'x' feet and the other side of the 'B'

now,

Area of rectangle = Bx = 3600 square feet

B = $\frac{3600}{x}$ feet

and total length to be fenced = x + 2B

therefore,

Total cost of fencing = Fencing charges × total length to be fenced

Total cost of fencing = $3.50 × ( x + 2B )

substituting the value of B from (1)

Total cost of fencing, C(x) = $\$3.50(x+2\times\frac{3600}{x})$

C(x) = $\$3.50(\frac{x^2+7200}{x})$

4 0

3 years ago

What is the solution for x in the equation?

erastovalidia [21]

The solution for x is D=-4

7 0

3 years ago

Graph the line with slope 1/4 and y intercept -2

andrey2020 [161]

Answer:

y= 1/4x -2

Step-by-step explanation:

Y=mx+b

m is the slope

b is the y intercept

8 0

2 years ago

Read 2 more answers

Find the area to 5 cm and 9 cm

Alexandra [31]

Answer:

$\large\boxed{A=45\ cm^2}$

Step-by-step explanation:

It's a parallelogram.

The formula of an area of a parallelogram:

$A=bh$

b - base

h - height

We have b = 9cm and h = 5cm. Substitute:

$A=(9)(5)=45\ cm^2$

5 0

3 years ago

Read 2 more answers

A researcher conducted an experiment to study the effects of an herbal supplement on the duration of the common cold. From a sam

OverLord2011 [107]

Answer:

50 people

Step-by-step explanation:

-An experimental unit is any physical entity or person or animal that can be randomly assgned to a treatment.

-Such a unit is usually referred to as a unit of statistical analysis.

-Both control and actual experimental units are units of statistical analysis despite receiving different treatments.

-Hence, the experimental units of the study is 50 people.

3 0

3 years ago