3(x+6)-2(x+2)=10

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Solution for 3(x+6)-2(x+2)=10 equation: 


Simplifying
3(x + 6) + -2(x + 2) = 10

Reorder the terms:
3(6 + x) + -2(x + 2) = 10
(6 * 3 + x * 3) + -2(x + 2) = 10
(18 + 3x) + -2(x + 2) = 10

Reorder the terms:
18 + 3x + -2(2 + x) = 10
18 + 3x + (2 * -2 + x * -2) = 10
18 + 3x + (-4 + -2x) = 10

Reorder the terms:
18 + -4 + 3x + -2x = 10

Combine like terms: 18 + -4 = 14
14 + 3x + -2x = 10

Combine like terms: 3x + -2x = 1x
14 + 1x = 10

Solving
14 + 1x = 10

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 1x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 10 + -14
1x = 10 + -14

Combine like terms: 10 + -14 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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