4(x+8)=-2(x-1)

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Solution for 4(x+8)=-2(x-1) equation: 


Simplifying
4(x + 8) = -2(x + -1)

Reorder the terms:
4(8 + x) = -2(x + -1)
(8 * 4 + x * 4) = -2(x + -1)
(32 + 4x) = -2(x + -1)

Reorder the terms:
32 + 4x = -2(-1 + x)
32 + 4x = (-1 * -2 + x * -2)
32 + 4x = (2 + -2x)

Solving
32 + 4x = 2 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
32 + 4x + 2x = 2 + -2x + 2x

Combine like terms: 4x + 2x = 6x
32 + 6x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
32 + 6x = 2 + 0
32 + 6x = 2

Add '-32' to each side of the equation.
32 + -32 + 6x = 2 + -32

Combine like terms: 32 + -32 = 0
0 + 6x = 2 + -32
6x = 2 + -32

Combine like terms: 2 + -32 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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