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

Can someone please help me??

dmitriy555 [2]

Answer:

I is clear that, the linear equation $5x+12=5x-7$ has no solution.

Step-by-step explanation:

Checking the first option:

$\frac{2}{3}\left(9x+6\right)=6x+4$

$6x+4=6x+4$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$6x+4-4=6x+4-4$

$6x=6x$

$\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}$

$6x-6x=6x-6x$

$0=0$

$\mathrm{Both\:sides\:are\:equal}$

$\mathrm{True\:for\:all}\:x$

Checking the 2nd option:

$5x+12=5x-7$

$\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}$

$5x+12-5x=5x-7-5x$

$\mathrm{Simplify}$

$12=-7$

$\mathrm{The\:sides\:are\:not\:equal}$

$\mathrm{No\:Solution}$

Checking the 3rd option:

$4x+7=3x+7$

$\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}$

$4x+7-7=3x+7-7$

$\mathrm{Simplify}$

$4x=3x$

$\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}$

$4x-3x=3x-3x$

$\mathrm{Simplify}$

$x=0$

Checking the 4th option:

$-3\left(2x-5\right)=15-6x$

$\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}$

$-6x+15-15=15-6x-15$

$\mathrm{Simplify}\$

$-6x=-6x$

$\mathrm{Add\:}6x\mathrm{\:to\:both\:sides}$

$-6x+6x=-6x+6x$

$\mathrm{Simplify}$

$\mathrm{Both\:sides\:are\:equal}$

$\mathrm{True\:for\:all}\:x$

Result:

Therefore, from the above calculations it is clear that, the linear equation

$5x+12=5x-7$ has no solution.

4 0

3 years ago

Which of these WAS NOT one of Huey Long's campaign promises?

kumpel [21]

I think the answer is D.

3 0

3 years ago

What is the value of 1.2^2

sveticcg [70]

Value of 1.2^2=1.44
value of 2^3+17-3*4=8+17-12=13
value of 9^2/3^3= 81/27=3

7 0

3 years ago

The graph of the equation -5x + By=18 is a line that passes through (-6,-2)

g100num [7]

Answer:

Step-by-step explanation:

B(Y)=5x+18

input the values

-2B=5(-6)+18

-2B=-30+18

-2B=-12

B=-12/-2

B=6

7 0

2 years ago

A worker's wage (w) is directly proportional to the number of hours (h) worked. If $71.25 is earned for working 5 h, how much is

marissa [1.9K]

Answer:

The amount earned is $327.75

Step-by-step explanation:

If the workwr working for 5h gets $71.25, then his working for 1 hour could be said to be x.

5h = $71.25

1h = x; cross multiplying would result in

x= $\frac{($71.25*1)}{5h}$

x= $14.25 which is the pay for 1h

Therefore for 23 h the worker would earn

23* 14.25 = $327.75

5 0

3 years ago