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

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


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

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

Reorder the terms:
-2 + 2x + -3(2 + x) = 5
-2 + 2x + (2 * -3 + x * -3) = 5
-2 + 2x + (-6 + -3x) = 5

Reorder the terms:
-2 + -6 + 2x + -3x = 5

Combine like terms: -2 + -6 = -8
-8 + 2x + -3x = 5

Combine like terms: 2x + -3x = -1x
-8 + -1x = 5

Solving
-8 + -1x = 5

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 5 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 5 + 8
-1x = 5 + 8

Combine like terms: 5 + 8 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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