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

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


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

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

Reorder the terms:
8 + 6x = 2(-10 + 5x)
8 + 6x = (-10 * 2 + 5x * 2)
8 + 6x = (-20 + 10x)

Solving
8 + 6x = -20 + 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.
8 + 6x + -10x = -20 + 10x + -10x

Combine like terms: 6x + -10x = -4x
8 + -4x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -4x = -20 + 0
8 + -4x = -20

Add '-8' to each side of the equation.
8 + -8 + -4x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -20 + -8
-4x = -20 + -8

Combine like terms: -20 + -8 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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