-2(x+5)+8(x-2)=12

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Solution for -2(x+5)+8(x-2)=12 equation: 


Simplifying
-2(x + 5) + 8(x + -2) = 12

Reorder the terms:
-2(5 + x) + 8(x + -2) = 12
(5 * -2 + x * -2) + 8(x + -2) = 12
(-10 + -2x) + 8(x + -2) = 12

Reorder the terms:
-10 + -2x + 8(-2 + x) = 12
-10 + -2x + (-2 * 8 + x * 8) = 12
-10 + -2x + (-16 + 8x) = 12

Reorder the terms:
-10 + -16 + -2x + 8x = 12

Combine like terms: -10 + -16 = -26
-26 + -2x + 8x = 12

Combine like terms: -2x + 8x = 6x
-26 + 6x = 12

Solving
-26 + 6x = 12

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 6x = 12 + 26

Combine like terms: -26 + 26 = 0
0 + 6x = 12 + 26
6x = 12 + 26

Combine like terms: 12 + 26 = 38
6x = 38

Divide each side by '6'.
x = 6.333333333

Simplifying
x = 6.333333333

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