Question

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

Answer 1

x = -4

Explanation:

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

6x + 6= 18 +4x - 20

6x - 4x = -2-6

2x = -8

x = -4

Answer 2

`x=-4`

Explanation:

So we have the equation:

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

Distribute the left and the right:

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

Simplify:

`6x+6=18+4x-20`

Combine on the right:

`6x+6=4x-2`

Subtract 4x from both sides. The right cancels:

`(6x+6)-4x=(4x-2)-4x\\2x+6=-2`

Subtract 6 from both sides. The left cancels:

`(2x+6)-6=(-2)-6\\2x=-8`

Divide both sides by 2:

`(2x)/2=(-8)/2\\x=-4`

Thus, the value of x is -4.