2(x+6)=10x-8

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


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

Reorder the terms:
2(6 + x) = 10x + -8
(6 * 2 + x * 2) = 10x + -8
(12 + 2x) = 10x + -8

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

Solving
12 + 2x = -8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 2x + -10x = -8 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
12 + -8x = -8 + 0
12 + -8x = -8

Add '-12' to each side of the equation.
12 + -12 + -8x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -8 + -12
-8x = -8 + -12

Combine like terms: -8 + -12 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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