-5(4x-4)-2x=3x+45

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Solution for -5(4x-4)-2x=3x+45 equation: 


Simplifying
-5(4x + -4) + -2x = 3x + 45

Reorder the terms:
-5(-4 + 4x) + -2x = 3x + 45
(-4 * -5 + 4x * -5) + -2x = 3x + 45
(20 + -20x) + -2x = 3x + 45

Combine like terms: -20x + -2x = -22x
20 + -22x = 3x + 45

Reorder the terms:
20 + -22x = 45 + 3x

Solving
20 + -22x = 45 + 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.
20 + -22x + -3x = 45 + 3x + -3x

Combine like terms: -22x + -3x = -25x
20 + -25x = 45 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -25x = 45 + 0
20 + -25x = 45

Add '-20' to each side of the equation.
20 + -20 + -25x = 45 + -20

Combine like terms: 20 + -20 = 0
0 + -25x = 45 + -20
-25x = 45 + -20

Combine like terms: 45 + -20 = 25
-25x = 25

Divide each side by '-25'.
x = -1

Simplifying
x = -1

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