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

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


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

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

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

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

Combine like terms: 4 + -1 = 3
-6 + -3x = 3 + -2x + x

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

Solving
-6 + -3x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + -3x + x = 3 + -1x + x

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

Combine like terms: -1x + x = 0
-6 + -2x = 3 + 0
-6 + -2x = 3

Add '6' to each side of the equation.
-6 + 6 + -2x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 3 + 6
-2x = 3 + 6

Combine like terms: 3 + 6 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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