Question

Solve for x.
2 + 3x = −4(5 + 2x)
x = [?]

Answer 1

the answer for x would equal -2

Answer 2

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

Explanation:

`\sf 2 + 3x = −4(5 + 2x)`

To solve for x, we need to manipulate the equation so that x is isolated on one side.

So, distribute the negative sign with 4 on the right side of the equation. We get:

`\sf 2 + 3x = -20 -8x`

Add 8x on both sides:

`\sf 2 + 3x+8x = -20 -8x+8x`

Simplify like terms:

`\sf 2 + 11x = -20`

Subtract 2 on both sides

`\sf 2 + 11x -2 = -20-2`

Simplify like terms:

`\sf 11x = -22`

Divide both sides by 11, we get:

`\sf (11x)/(11)=-(22)/(11)`

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

Therefore, the value of x is -2.