2(x-1)-5=-3(x-2)+2

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Solution for 2(x-1)-5=-3(x-2)+2 equation: 


Simplifying
2(x + -1) + -5 = -3(x + -2) + 2

Reorder the terms:
2(-1 + x) + -5 = -3(x + -2) + 2
(-1 * 2 + x * 2) + -5 = -3(x + -2) + 2
(-2 + 2x) + -5 = -3(x + -2) + 2

Reorder the terms:
-2 + -5 + 2x = -3(x + -2) + 2

Combine like terms: -2 + -5 = -7
-7 + 2x = -3(x + -2) + 2

Reorder the terms:
-7 + 2x = -3(-2 + x) + 2
-7 + 2x = (-2 * -3 + x * -3) + 2
-7 + 2x = (6 + -3x) + 2

Reorder the terms:
-7 + 2x = 6 + 2 + -3x

Combine like terms: 6 + 2 = 8
-7 + 2x = 8 + -3x

Solving
-7 + 2x = 8 + -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.
-7 + 2x + 3x = 8 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-7 + 5x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 5x = 8 + 0
-7 + 5x = 8

Add '7' to each side of the equation.
-7 + 7 + 5x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 8 + 7
5x = 8 + 7

Combine like terms: 8 + 7 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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