2(x+4)-3(x-2)=x+2

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Solution for 2(x+4)-3(x-2)=x+2 equation: 


Simplifying
2(x + 4) + -3(x + -2) = x + 2

Reorder the terms:
2(4 + x) + -3(x + -2) = x + 2
(4 * 2 + x * 2) + -3(x + -2) = x + 2
(8 + 2x) + -3(x + -2) = x + 2

Reorder the terms:
8 + 2x + -3(-2 + x) = x + 2
8 + 2x + (-2 * -3 + x * -3) = x + 2
8 + 2x + (6 + -3x) = x + 2

Reorder the terms:
8 + 6 + 2x + -3x = x + 2

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

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

Reorder the terms:
14 + -1x = 2 + x

Solving
14 + -1x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + -1x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
14 + -2x = 2 + 0
14 + -2x = 2

Add '-14' to each side of the equation.
14 + -14 + -2x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 2 + -14
-2x = 2 + -14

Combine like terms: 2 + -14 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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