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

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


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

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

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

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

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

Combine like terms: 2x + 3x = 5x
4 + 5x = x + -2

Reorder the terms:
4 + 5x = -2 + x

Solving
4 + 5x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 5x + -1x = -2 + x + -1x

Combine like terms: 5x + -1x = 4x
4 + 4x = -2 + x + -1x

Combine like terms: x + -1x = 0
4 + 4x = -2 + 0
4 + 4x = -2

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

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

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

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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