-4(2x-5)=-2x+8-3x

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Solution for -4(2x-5)=-2x+8-3x equation:


Simplifying
-4(2x + -5) = -2x + 8 + -3x

Reorder the terms:
-4(-5 + 2x) = -2x + 8 + -3x
(-5 * -4 + 2x * -4) = -2x + 8 + -3x
(20 + -8x) = -2x + 8 + -3x

Reorder the terms:
20 + -8x = 8 + -2x + -3x

Combine like terms: -2x + -3x = -5x
20 + -8x = 8 + -5x

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

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

Combine like terms: -5x + 5x = 0
20 + -3x = 8 + 0
20 + -3x = 8

Add '-20' to each side of the equation.
20 + -20 + -3x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 8 + -20
-3x = 8 + -20

Combine like terms: 8 + -20 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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