-3(x-2)+2(x+1)=14

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Solution for -3(x-2)+2(x+1)=14 equation: 


Simplifying
-3(x + -2) + 2(x + 1) = 14

Reorder the terms:
-3(-2 + x) + 2(x + 1) = 14
(-2 * -3 + x * -3) + 2(x + 1) = 14
(6 + -3x) + 2(x + 1) = 14

Reorder the terms:
6 + -3x + 2(1 + x) = 14
6 + -3x + (1 * 2 + x * 2) = 14
6 + -3x + (2 + 2x) = 14

Reorder the terms:
6 + 2 + -3x + 2x = 14

Combine like terms: 6 + 2 = 8
8 + -3x + 2x = 14

Combine like terms: -3x + 2x = -1x
8 + -1x = 14

Solving
8 + -1x = 14

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 = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 14 + -8
-1x = 14 + -8

Combine like terms: 14 + -8 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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