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

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


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

Reorder the terms:
-4(4 + -5x) + -5x = 3(x + -2) + -8
(4 * -4 + -5x * -4) + -5x = 3(x + -2) + -8
(-16 + 20x) + -5x = 3(x + -2) + -8

Combine like terms: 20x + -5x = 15x
-16 + 15x = 3(x + -2) + -8

Reorder the terms:
-16 + 15x = 3(-2 + x) + -8
-16 + 15x = (-2 * 3 + x * 3) + -8
-16 + 15x = (-6 + 3x) + -8

Reorder the terms:
-16 + 15x = -6 + -8 + 3x

Combine like terms: -6 + -8 = -14
-16 + 15x = -14 + 3x

Solving
-16 + 15x = -14 + 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.
-16 + 15x + -3x = -14 + 3x + -3x

Combine like terms: 15x + -3x = 12x
-16 + 12x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 12x = -14 + 0
-16 + 12x = -14

Add '16' to each side of the equation.
-16 + 16 + 12x = -14 + 16

Combine like terms: -16 + 16 = 0
0 + 12x = -14 + 16
12x = -14 + 16

Combine like terms: -14 + 16 = 2
12x = 2

Divide each side by '12'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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