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

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


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

Reorder the terms:
x = 3(-1 + 2x) + -4(2 + -1x)
x = (-1 * 3 + 2x * 3) + -4(2 + -1x)
x = (-3 + 6x) + -4(2 + -1x)
x = -3 + 6x + (2 * -4 + -1x * -4)
x = -3 + 6x + (-8 + 4x)

Reorder the terms:
x = -3 + -8 + 6x + 4x

Combine like terms: -3 + -8 = -11
x = -11 + 6x + 4x

Combine like terms: 6x + 4x = 10x
x = -11 + 10x

Solving
x = -11 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
x + -10x = -11 + 10x + -10x

Combine like terms: x + -10x = -9x
-9x = -11 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9x = -11 + 0
-9x = -11

Divide each side by '-9'.
x = 1.222222222

Simplifying
x = 1.222222222

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