40-3(-x-8)=16-(x+12)

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Solution for 40-3(-x-8)=16-(x+12) equation:


Simplifying
40 + -3(-1x + -8) = 16 + -1(x + 12)

Reorder the terms:
40 + -3(-8 + -1x) = 16 + -1(x + 12)
40 + (-8 * -3 + -1x * -3) = 16 + -1(x + 12)
40 + (24 + 3x) = 16 + -1(x + 12)

Combine like terms: 40 + 24 = 64
64 + 3x = 16 + -1(x + 12)

Reorder the terms:
64 + 3x = 16 + -1(12 + x)
64 + 3x = 16 + (12 * -1 + x * -1)
64 + 3x = 16 + (-12 + -1x)

Combine like terms: 16 + -12 = 4
64 + 3x = 4 + -1x

Solving
64 + 3x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
64 + 3x + x = 4 + -1x + x

Combine like terms: 3x + x = 4x
64 + 4x = 4 + -1x + x

Combine like terms: -1x + x = 0
64 + 4x = 4 + 0
64 + 4x = 4

Add '-64' to each side of the equation.
64 + -64 + 4x = 4 + -64

Combine like terms: 64 + -64 = 0
0 + 4x = 4 + -64
4x = 4 + -64

Combine like terms: 4 + -64 = -60
4x = -60

Divide each side by '4'.
x = -15

Simplifying
x = -15

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