2(x+6)-3(x-2)=20

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Solution for 2(x+6)-3(x-2)=20 equation: 


Simplifying
2(x + 6) + -3(x + -2) = 20

Reorder the terms:
2(6 + x) + -3(x + -2) = 20
(6 * 2 + x * 2) + -3(x + -2) = 20
(12 + 2x) + -3(x + -2) = 20

Reorder the terms:
12 + 2x + -3(-2 + x) = 20
12 + 2x + (-2 * -3 + x * -3) = 20
12 + 2x + (6 + -3x) = 20

Reorder the terms:
12 + 6 + 2x + -3x = 20

Combine like terms: 12 + 6 = 18
18 + 2x + -3x = 20

Combine like terms: 2x + -3x = -1x
18 + -1x = 20

Solving
18 + -1x = 20

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 20 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 20 + -18
-1x = 20 + -18

Combine like terms: 20 + -18 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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