4(x+5)+12=-2(x-7)

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Solution for 4(x+5)+12=-2(x-7) equation: 


Simplifying
4(x + 5) + 12 = -2(x + -7)

Reorder the terms:
4(5 + x) + 12 = -2(x + -7)
(5 * 4 + x * 4) + 12 = -2(x + -7)
(20 + 4x) + 12 = -2(x + -7)

Reorder the terms:
20 + 12 + 4x = -2(x + -7)

Combine like terms: 20 + 12 = 32
32 + 4x = -2(x + -7)

Reorder the terms:
32 + 4x = -2(-7 + x)
32 + 4x = (-7 * -2 + x * -2)
32 + 4x = (14 + -2x)

Solving
32 + 4x = 14 + -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 = 14 + -2x + 2x

Combine like terms: 4x + 2x = 6x
32 + 6x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
32 + 6x = 14 + 0
32 + 6x = 14

Add '-32' to each side of the equation.
32 + -32 + 6x = 14 + -32

Combine like terms: 32 + -32 = 0
0 + 6x = 14 + -32
6x = 14 + -32

Combine like terms: 14 + -32 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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