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

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


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

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

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

Solving
6 + 2x = -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.
6 + 2x + -10x = -20 + 10x + -10x

Combine like terms: 2x + -10x = -8x
6 + -8x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -8x = -20 + 0
6 + -8x = -20

Add '-6' to each side of the equation.
6 + -6 + -8x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -20 + -6
-8x = -20 + -6

Combine like terms: -20 + -6 = -26
-8x = -26

Divide each side by '-8'.
x = 3.25

Simplifying
x = 3.25

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