-4(-5x+4)-3x=2(x-1)-8

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Solution for -4(-5x+4)-3x=2(x-1)-8 equation:


Simplifying
-4(-5x + 4) + -3x = 2(x + -1) + -8

Reorder the terms:
-4(4 + -5x) + -3x = 2(x + -1) + -8
(4 * -4 + -5x * -4) + -3x = 2(x + -1) + -8
(-16 + 20x) + -3x = 2(x + -1) + -8

Combine like terms: 20x + -3x = 17x
-16 + 17x = 2(x + -1) + -8

Reorder the terms:
-16 + 17x = 2(-1 + x) + -8
-16 + 17x = (-1 * 2 + x * 2) + -8
-16 + 17x = (-2 + 2x) + -8

Reorder the terms:
-16 + 17x = -2 + -8 + 2x

Combine like terms: -2 + -8 = -10
-16 + 17x = -10 + 2x

Solving
-16 + 17x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-16 + 17x + -2x = -10 + 2x + -2x

Combine like terms: 17x + -2x = 15x
-16 + 15x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 15x = -10 + 0
-16 + 15x = -10

Add '16' to each side of the equation.
-16 + 16 + 15x = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 15x = -10 + 16
15x = -10 + 16

Combine like terms: -10 + 16 = 6
15x = 6

Divide each side by '15'.
x = 0.4

Simplifying
x = 0.4

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