Question

Solve the equation below. W
5x - 18 = 2(3x - 12) + 4
Step by step please

Answer 1

Answer:
`x=2`

Explanation:

1. Get rid of the parenthesis. You can do this by multiplying.

`5x-18=2(3x-12)+4`

`5x-18=6x-24+4`

2. Move the variables to the left and the numbers to the right. If one of the numbers is not on its side (left or right) and you need to move it, change the sign.

`5x-6x=-24+4+18`

Solve: Since the result is -1 and we have a variable, we can omit it.

`-x=-24+22`

`-x=-2`

Divide both sides by -1 to isolate the x

`(-(1)x)/(-1) =(-2)/(-1)`

Solve:

`x=2`

3. Proof: Replace the result in the original equation and both sides should be equal. (this step is for you to make sure that your answer is correct.

`5x-18=2(3x-12)+4`

`5(2)-18=2[3(2)-12]+4`

`10-18=2(6-12)+4`

`-8=2(-6)+4`

`-8=-12+4`

`-8=-8`

As you can see, both sides are equal to each other; which proves that
`x=2` is correct.

Answer 2

x=2

Explanation:

To solve, we need to isolate the variable, x

5x-18=2(3x-12) +4

Distribute the 2

5x-18=2*3x + 2*-12 +4

5x-18=6x-24+4

Combine like terms (add -24 and 4)

5x-18=6x-20

Add 18 to both sides

5x=6x-2

Subtract 6x from both sides

-x=-2

Divide both sides by -1

x=2