3(x+6)-5(x+2)=-8

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Solution for 3(x+6)-5(x+2)=-8 equation: 


Simplifying
3(x + 6) + -5(x + 2) = -8

Reorder the terms:
3(6 + x) + -5(x + 2) = -8
(6 * 3 + x * 3) + -5(x + 2) = -8
(18 + 3x) + -5(x + 2) = -8

Reorder the terms:
18 + 3x + -5(2 + x) = -8
18 + 3x + (2 * -5 + x * -5) = -8
18 + 3x + (-10 + -5x) = -8

Reorder the terms:
18 + -10 + 3x + -5x = -8

Combine like terms: 18 + -10 = 8
8 + 3x + -5x = -8

Combine like terms: 3x + -5x = -2x
8 + -2x = -8

Solving
8 + -2x = -8

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 + -2x = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -8 + -8
-2x = -8 + -8

Combine like terms: -8 + -8 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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