5-8x=-5(x-4)

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Solution for 5-8x=-5(x-4) equation:


Simplifying
5 + -8x = -5(x + -4)

Reorder the terms:
5 + -8x = -5(-4 + x)
5 + -8x = (-4 * -5 + x * -5)
5 + -8x = (20 + -5x)

Solving
5 + -8x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5 + -8x + 5x = 20 + -5x + 5x

Combine like terms: -8x + 5x = -3x
5 + -3x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + -3x = 20 + 0
5 + -3x = 20

Add '-5' to each side of the equation.
5 + -5 + -3x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 20 + -5
-3x = 20 + -5

Combine like terms: 20 + -5 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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