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

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


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

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

Reorder the terms:
-6 + 4x = -3(-4 + -1x)
-6 + 4x = (-4 * -3 + -1x * -3)
-6 + 4x = (12 + 3x)

Solving
-6 + 4x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 4x + -3x = 12 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-6 + 1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 1x = 12 + 0
-6 + 1x = 12

Add '6' to each side of the equation.
-6 + 6 + 1x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 12 + 6
1x = 12 + 6

Combine like terms: 12 + 6 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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