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

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


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

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

Reorder the terms:
-3 + 3x + -2(2 + x) = 5
-3 + 3x + (2 * -2 + x * -2) = 5
-3 + 3x + (-4 + -2x) = 5

Reorder the terms:
-3 + -4 + 3x + -2x = 5

Combine like terms: -3 + -4 = -7
-7 + 3x + -2x = 5

Combine like terms: 3x + -2x = 1x
-7 + 1x = 5

Solving
-7 + 1x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 1x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 5 + 7
1x = 5 + 7

Combine like terms: 5 + 7 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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