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

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


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

Reorder the terms:
2(-3 + 4x) + -8 = -4(-5 + -2x) + 3x
(-3 * 2 + 4x * 2) + -8 = -4(-5 + -2x) + 3x
(-6 + 8x) + -8 = -4(-5 + -2x) + 3x

Reorder the terms:
-6 + -8 + 8x = -4(-5 + -2x) + 3x

Combine like terms: -6 + -8 = -14
-14 + 8x = -4(-5 + -2x) + 3x
-14 + 8x = (-5 * -4 + -2x * -4) + 3x
-14 + 8x = (20 + 8x) + 3x

Combine like terms: 8x + 3x = 11x
-14 + 8x = 20 + 11x

Solving
-14 + 8x = 20 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-14 + 8x + -11x = 20 + 11x + -11x

Combine like terms: 8x + -11x = -3x
-14 + -3x = 20 + 11x + -11x

Combine like terms: 11x + -11x = 0
-14 + -3x = 20 + 0
-14 + -3x = 20

Add '14' to each side of the equation.
-14 + 14 + -3x = 20 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 20 + 14
-3x = 20 + 14

Combine like terms: 20 + 14 = 34
-3x = 34

Divide each side by '-3'.
x = -11.33333333

Simplifying
x = -11.33333333

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