-4(5x-4)-x=-3(x-4)

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


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

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

Combine like terms: -20x + -1x = -21x
16 + -21x = -3(x + -4)

Reorder the terms:
16 + -21x = -3(-4 + x)
16 + -21x = (-4 * -3 + x * -3)
16 + -21x = (12 + -3x)

Solving
16 + -21x = 12 + -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 + -21x + 3x = 12 + -3x + 3x

Combine like terms: -21x + 3x = -18x
16 + -18x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + -18x = 12 + 0
16 + -18x = 12

Add '-16' to each side of the equation.
16 + -16 + -18x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -18x = 12 + -16
-18x = 12 + -16

Combine like terms: 12 + -16 = -4
-18x = -4

Divide each side by '-18'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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