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

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Solution for -2(2x-3)-6=-3(3x+4)-4 equation:


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

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

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

Combine like terms: 6 + -6 = 0
0 + -4x = -3(3x + 4) + -4
-4x = -3(3x + 4) + -4

Reorder the terms:
-4x = -3(4 + 3x) + -4
-4x = (4 * -3 + 3x * -3) + -4
-4x = (-12 + -9x) + -4

Reorder the terms:
-4x = -12 + -4 + -9x

Combine like terms: -12 + -4 = -16
-4x = -16 + -9x

Solving
-4x = -16 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-4x + 9x = -16 + -9x + 9x

Combine like terms: -4x + 9x = 5x
5x = -16 + -9x + 9x

Combine like terms: -9x + 9x = 0
5x = -16 + 0
5x = -16

Divide each side by '5'.
x = -3.2

Simplifying
x = -3.2

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