Question

If -12-4(-2x)= 4 then what is x?

Answer 1

`hey \: buddy \: \\ this \: is \: your \: answer`

Explanation:

1)Eliminate redundant parentheses

`- 12 - 4( - 2x) = 4 \\ - 12 - 4( - 2x) = 4`

2)Multiply the numbers

`- 12 - 4( - 2)x = 4 \\ - 12 + 8x = 4`

3)Rearrange terms

`- 12 + 8x =4 \\ 8x - 12 = 4`

4)Simplify the equation

`8x = 12 + 4 \\ 8x = 16 \\ 8x / 8 = 16 / 8 \\`

5) Divide

`x = 2`

hope I helped

Answer 2

`\boxed{\boxed{\sf x=2}}`

Explanation:

`\sf -12-4\left(-2x\right)=\:4`

First, let's remove parentheses:

`\sf -12-4* -2x=4`

Simplify, multiply, 4 * -2x = -8x:

`\sf -12-(-8x)=4`

** Apply rule: - ( -a )= a

`\sf 12+8x=4`

Now, let's regroup terms

`\sf 8x-12=4`

Add 12 to both sides:

`\sf -12+8x+12=4+12`

Simplify, 4 + 12= 16

`\sf 8x=16`

Divide both sides by 8:

`\sf \cfrac{8x}{8}=\cfrac{16}{8}`

`\sf x=2`

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