2(x+10)=6x-2(x-1)

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Solution for 2(x+10)=6x-2(x-1) equation:


Simplifying
2(x + 10) = 6x + -2(x + -1)

Reorder the terms:
2(10 + x) = 6x + -2(x + -1)
(10 * 2 + x * 2) = 6x + -2(x + -1)
(20 + 2x) = 6x + -2(x + -1)

Reorder the terms:
20 + 2x = 6x + -2(-1 + x)
20 + 2x = 6x + (-1 * -2 + x * -2)
20 + 2x = 6x + (2 + -2x)

Reorder the terms:
20 + 2x = 2 + 6x + -2x

Combine like terms: 6x + -2x = 4x
20 + 2x = 2 + 4x

Solving
20 + 2x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + 2x + -4x = 2 + 4x + -4x

Combine like terms: 2x + -4x = -2x
20 + -2x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -2x = 2 + 0
20 + -2x = 2

Add '-20' to each side of the equation.
20 + -20 + -2x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 2 + -20
-2x = 2 + -20

Combine like terms: 2 + -20 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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