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

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


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

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

Reorder the terms:
-5 + -20x = 4x + -3(-1 + 4x) + -4
-5 + -20x = 4x + (-1 * -3 + 4x * -3) + -4
-5 + -20x = 4x + (3 + -12x) + -4

Reorder the terms:
-5 + -20x = 3 + -4 + 4x + -12x

Combine like terms: 3 + -4 = -1
-5 + -20x = -1 + 4x + -12x

Combine like terms: 4x + -12x = -8x
-5 + -20x = -1 + -8x

Solving
-5 + -20x = -1 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-5 + -20x + 8x = -1 + -8x + 8x

Combine like terms: -20x + 8x = -12x
-5 + -12x = -1 + -8x + 8x

Combine like terms: -8x + 8x = 0
-5 + -12x = -1 + 0
-5 + -12x = -1

Add '5' to each side of the equation.
-5 + 5 + -12x = -1 + 5

Combine like terms: -5 + 5 = 0
0 + -12x = -1 + 5
-12x = -1 + 5

Combine like terms: -1 + 5 = 4
-12x = 4

Divide each side by '-12'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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