2(x-1)-3(2x+2)=10

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Solution for 2(x-1)-3(2x+2)=10 equation: 


Simplifying
2(x + -1) + -3(2x + 2) = 10

Reorder the terms:
2(-1 + x) + -3(2x + 2) = 10
(-1 * 2 + x * 2) + -3(2x + 2) = 10
(-2 + 2x) + -3(2x + 2) = 10

Reorder the terms:
-2 + 2x + -3(2 + 2x) = 10
-2 + 2x + (2 * -3 + 2x * -3) = 10
-2 + 2x + (-6 + -6x) = 10

Reorder the terms:
-2 + -6 + 2x + -6x = 10

Combine like terms: -2 + -6 = -8
-8 + 2x + -6x = 10

Combine like terms: 2x + -6x = -4x
-8 + -4x = 10

Solving
-8 + -4x = 10

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 + -4x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 10 + 8
-4x = 10 + 8

Combine like terms: 10 + 8 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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