-4(-5x+4)-4x=4(x-4)-6

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Solution for -4(-5x+4)-4x=4(x-4)-6 equation:


Simplifying
-4(-5x + 4) + -4x = 4(x + -4) + -6

Reorder the terms:
-4(4 + -5x) + -4x = 4(x + -4) + -6
(4 * -4 + -5x * -4) + -4x = 4(x + -4) + -6
(-16 + 20x) + -4x = 4(x + -4) + -6

Combine like terms: 20x + -4x = 16x
-16 + 16x = 4(x + -4) + -6

Reorder the terms:
-16 + 16x = 4(-4 + x) + -6
-16 + 16x = (-4 * 4 + x * 4) + -6
-16 + 16x = (-16 + 4x) + -6

Reorder the terms:
-16 + 16x = -16 + -6 + 4x

Combine like terms: -16 + -6 = -22
-16 + 16x = -22 + 4x

Solving
-16 + 16x = -22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 16x + -4x = -22 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-16 + 12x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 12x = -22 + 0
-16 + 12x = -22

Add '16' to each side of the equation.
-16 + 16 + 12x = -22 + 16

Combine like terms: -16 + 16 = 0
0 + 12x = -22 + 16
12x = -22 + 16

Combine like terms: -22 + 16 = -6
12x = -6

Divide each side by '12'.
x = -0.5

Simplifying
x = -0.5

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