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

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


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

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

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

Combine like terms: 2x + -8x = -6x
-4 + -6x = x + -3(2x + -1)

Reorder the terms:
-4 + -6x = x + -3(-1 + 2x)
-4 + -6x = x + (-1 * -3 + 2x * -3)
-4 + -6x = x + (3 + -6x)

Reorder the terms:
-4 + -6x = 3 + x + -6x

Combine like terms: x + -6x = -5x
-4 + -6x = 3 + -5x

Solving
-4 + -6x = 3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-4 + -6x + 5x = 3 + -5x + 5x

Combine like terms: -6x + 5x = -1x
-4 + -1x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + -1x = 3 + 0
-4 + -1x = 3

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

Combine like terms: -4 + 4 = 0
0 + -1x = 3 + 4
-1x = 3 + 4

Combine like terms: 3 + 4 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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