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

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


Simplifying
2(2 + -3x) = -4(2x + -3)
(2 * 2 + -3x * 2) = -4(2x + -3)
(4 + -6x) = -4(2x + -3)

Reorder the terms:
4 + -6x = -4(-3 + 2x)
4 + -6x = (-3 * -4 + 2x * -4)
4 + -6x = (12 + -8x)

Solving
4 + -6x = 12 + -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.
4 + -6x + 8x = 12 + -8x + 8x

Combine like terms: -6x + 8x = 2x
4 + 2x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
4 + 2x = 12 + 0
4 + 2x = 12

Add '-4' to each side of the equation.
4 + -4 + 2x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 12 + -4
2x = 12 + -4

Combine like terms: 12 + -4 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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