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

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


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

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

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

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

Combine like terms: 20 + -8 = 12
4 + -5x = 12 + -4x

Solving
4 + -5x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4 + -5x + 4x = 12 + -4x + 4x

Combine like terms: -5x + 4x = -1x
4 + -1x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + -1x = 12 + 0
4 + -1x = 12

Add '-4' to each side of the equation.
4 + -4 + -1x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 12 + -4
-1x = 12 + -4

Combine like terms: 12 + -4 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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