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

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


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

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

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

Remove parenthesis around (-2 + x)
10 + 2x = -2 + x

Solving
10 + 2x = -2 + x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -12

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