-5(x-4)+12=3x-16

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Solution for -5(x-4)+12=3x-16 equation:


Simplifying
-5(x + -4) + 12 = 3x + -16

Reorder the terms:
-5(-4 + x) + 12 = 3x + -16
(-4 * -5 + x * -5) + 12 = 3x + -16
(20 + -5x) + 12 = 3x + -16

Reorder the terms:
20 + 12 + -5x = 3x + -16

Combine like terms: 20 + 12 = 32
32 + -5x = 3x + -16

Reorder the terms:
32 + -5x = -16 + 3x

Solving
32 + -5x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
32 + -5x + -3x = -16 + 3x + -3x

Combine like terms: -5x + -3x = -8x
32 + -8x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + -8x = -16 + 0
32 + -8x = -16

Add '-32' to each side of the equation.
32 + -32 + -8x = -16 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = -16 + -32
-8x = -16 + -32

Combine like terms: -16 + -32 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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