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

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


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

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

Remove parenthesis around (2 + x)
2 + x = 2(x + -5)

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

Solving
2 + x = -10 + 2x

Solving for variable 'x'.

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

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

Combine like terms: x + -2x = -1x
2 + -1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -1x = -10 + 0
2 + -1x = -10

Add '-2' to each side of the equation.
2 + -2 + -1x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -10 + -2
-1x = -10 + -2

Combine like terms: -10 + -2 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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