6(x+2)-5(x-8)=60

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Solution for 6(x+2)-5(x-8)=60 equation: 


Simplifying
6(x + 2) + -5(x + -8) = 60

Reorder the terms:
6(2 + x) + -5(x + -8) = 60
(2 * 6 + x * 6) + -5(x + -8) = 60
(12 + 6x) + -5(x + -8) = 60

Reorder the terms:
12 + 6x + -5(-8 + x) = 60
12 + 6x + (-8 * -5 + x * -5) = 60
12 + 6x + (40 + -5x) = 60

Reorder the terms:
12 + 40 + 6x + -5x = 60

Combine like terms: 12 + 40 = 52
52 + 6x + -5x = 60

Combine like terms: 6x + -5x = 1x
52 + 1x = 60

Solving
52 + 1x = 60

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 1x = 60 + -52

Combine like terms: 52 + -52 = 0
0 + 1x = 60 + -52
1x = 60 + -52

Combine like terms: 60 + -52 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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