2(x+5)-8(x-6)=10

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Solution for 2(x+5)-8(x-6)=10 equation: 


Simplifying
2(x + 5) + -8(x + -6) = 10

Reorder the terms:
2(5 + x) + -8(x + -6) = 10
(5 * 2 + x * 2) + -8(x + -6) = 10
(10 + 2x) + -8(x + -6) = 10

Reorder the terms:
10 + 2x + -8(-6 + x) = 10
10 + 2x + (-6 * -8 + x * -8) = 10
10 + 2x + (48 + -8x) = 10

Reorder the terms:
10 + 48 + 2x + -8x = 10

Combine like terms: 10 + 48 = 58
58 + 2x + -8x = 10

Combine like terms: 2x + -8x = -6x
58 + -6x = 10

Solving
58 + -6x = 10

Solving for variable 'x'.

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

Add '-58' to each side of the equation.
58 + -58 + -6x = 10 + -58

Combine like terms: 58 + -58 = 0
0 + -6x = 10 + -58
-6x = 10 + -58

Combine like terms: 10 + -58 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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