5(x-4)+84=-3x

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Solution for 5(x-4)+84=-3x equation:


Simplifying
5(x + -4) + 84 = -3x

Reorder the terms:
5(-4 + x) + 84 = -3x
(-4 * 5 + x * 5) + 84 = -3x
(-20 + 5x) + 84 = -3x

Reorder the terms:
-20 + 84 + 5x = -3x

Combine like terms: -20 + 84 = 64
64 + 5x = -3x

Solving
64 + 5x = -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.
64 + 5x + 3x = -3x + 3x

Combine like terms: 5x + 3x = 8x
64 + 8x = -3x + 3x

Combine like terms: -3x + 3x = 0
64 + 8x = 0

Add '-64' to each side of the equation.
64 + -64 + 8x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 8x = 0 + -64
8x = 0 + -64

Combine like terms: 0 + -64 = -64
8x = -64

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

Simplifying
x = -8

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