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

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


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

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

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

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

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

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

Solving
-3 + -3x = -6 + 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.
-3 + -3x + -3x = -6 + 3x + -3x

Combine like terms: -3x + -3x = -6x
-3 + -6x = -6 + 3x + -3x

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

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

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

Combine like terms: -6 + 3 = -3
-6x = -3

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5

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