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

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


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

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

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

Combine like terms: x + -6x = -5x
3 + -5x = 4(2x + 1)

Reorder the terms:
3 + -5x = 4(1 + 2x)
3 + -5x = (1 * 4 + 2x * 4)
3 + -5x = (4 + 8x)

Solving
3 + -5x = 4 + 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.
3 + -5x + -8x = 4 + 8x + -8x

Combine like terms: -5x + -8x = -13x
3 + -13x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -13x = 4 + 0
3 + -13x = 4

Add '-3' to each side of the equation.
3 + -3 + -13x = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -13x = 4 + -3
-13x = 4 + -3

Combine like terms: 4 + -3 = 1
-13x = 1

Divide each side by '-13'.
x = -0.07692307692

Simplifying
x = -0.07692307692

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