8-(3x+4)=2x-16

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Solution for 8-(3x+4)=2x-16 equation:


Simplifying
8 + -1(3x + 4) = 2x + -16

Reorder the terms:
8 + -1(4 + 3x) = 2x + -16
8 + (4 * -1 + 3x * -1) = 2x + -16
8 + (-4 + -3x) = 2x + -16

Combine like terms: 8 + -4 = 4
4 + -3x = 2x + -16

Reorder the terms:
4 + -3x = -16 + 2x

Solving
4 + -3x = -16 + 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.
4 + -3x + -2x = -16 + 2x + -2x

Combine like terms: -3x + -2x = -5x
4 + -5x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -5x = -16 + 0
4 + -5x = -16

Add '-4' to each side of the equation.
4 + -4 + -5x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -16 + -4
-5x = -16 + -4

Combine like terms: -16 + -4 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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