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

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


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

Reorder the terms:
4 = 5(-5 + x) + 5 + -4x
4 = (-5 * 5 + x * 5) + 5 + -4x
4 = (-25 + 5x) + 5 + -4x

Reorder the terms:
4 = -25 + 5 + 5x + -4x

Combine like terms: -25 + 5 = -20
4 = -20 + 5x + -4x

Combine like terms: 5x + -4x = 1x
4 = -20 + 1x

Solving
4 = -20 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -1x = -20 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -1x = -20 + 0
4 + -1x = -20

Add '-4' to each side of the equation.
4 + -4 + -1x = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -20 + -4
-1x = -20 + -4

Combine like terms: -20 + -4 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24

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