4(x-1)-4=-5(-5x+4)-3x

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Solution for 4(x-1)-4=-5(-5x+4)-3x equation:


Simplifying
4(x + -1) + -4 = -5(-5x + 4) + -3x

Reorder the terms:
4(-1 + x) + -4 = -5(-5x + 4) + -3x
(-1 * 4 + x * 4) + -4 = -5(-5x + 4) + -3x
(-4 + 4x) + -4 = -5(-5x + 4) + -3x

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

Combine like terms: -4 + -4 = -8
-8 + 4x = -5(-5x + 4) + -3x

Reorder the terms:
-8 + 4x = -5(4 + -5x) + -3x
-8 + 4x = (4 * -5 + -5x * -5) + -3x
-8 + 4x = (-20 + 25x) + -3x

Combine like terms: 25x + -3x = 22x
-8 + 4x = -20 + 22x

Solving
-8 + 4x = -20 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-8 + 4x + -22x = -20 + 22x + -22x

Combine like terms: 4x + -22x = -18x
-8 + -18x = -20 + 22x + -22x

Combine like terms: 22x + -22x = 0
-8 + -18x = -20 + 0
-8 + -18x = -20

Add '8' to each side of the equation.
-8 + 8 + -18x = -20 + 8

Combine like terms: -8 + 8 = 0
0 + -18x = -20 + 8
-18x = -20 + 8

Combine like terms: -20 + 8 = -12
-18x = -12

Divide each side by '-18'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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