5(x+4)+12=2(x-3)-2

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Solution for 5(x+4)+12=2(x-3)-2 equation: 


Simplifying
5(x + 4) + 12 = 2(x + -3) + -2

Reorder the terms:
5(4 + x) + 12 = 2(x + -3) + -2
(4 * 5 + x * 5) + 12 = 2(x + -3) + -2
(20 + 5x) + 12 = 2(x + -3) + -2

Reorder the terms:
20 + 12 + 5x = 2(x + -3) + -2

Combine like terms: 20 + 12 = 32
32 + 5x = 2(x + -3) + -2

Reorder the terms:
32 + 5x = 2(-3 + x) + -2
32 + 5x = (-3 * 2 + x * 2) + -2
32 + 5x = (-6 + 2x) + -2

Reorder the terms:
32 + 5x = -6 + -2 + 2x

Combine like terms: -6 + -2 = -8
32 + 5x = -8 + 2x

Solving
32 + 5x = -8 + 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 + 5x + -2x = -8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
32 + 3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + 3x = -8 + 0
32 + 3x = -8

Add '-32' to each side of the equation.
32 + -32 + 3x = -8 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = -8 + -32
3x = -8 + -32

Combine like terms: -8 + -32 = -40
3x = -40

Divide each side by '3'.
x = -13.33333333

Simplifying
x = -13.33333333

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