4(2x-1)-2(2x-1)=x-3

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


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

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

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

Reorder the terms:
-4 + 2 + 8x + -4x = x + -3

Combine like terms: -4 + 2 = -2
-2 + 8x + -4x = x + -3

Combine like terms: 8x + -4x = 4x
-2 + 4x = x + -3

Reorder the terms:
-2 + 4x = -3 + x

Solving
-2 + 4x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 4x + -1x = -3 + x + -1x

Combine like terms: 4x + -1x = 3x
-2 + 3x = -3 + x + -1x

Combine like terms: x + -1x = 0
-2 + 3x = -3 + 0
-2 + 3x = -3

Add '2' to each side of the equation.
-2 + 2 + 3x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = -3 + 2
3x = -3 + 2

Combine like terms: -3 + 2 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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