(2x+7)=(x-2)

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Solution for (2x+7)=(x-2) equation:


Simplifying
(2x + 7) = (x + -2)

Reorder the terms:
(7 + 2x) = (x + -2)

Remove parenthesis around (7 + 2x)
7 + 2x = (x + -2)

Reorder the terms:
7 + 2x = (-2 + x)

Remove parenthesis around (-2 + x)
7 + 2x = -2 + x

Solving
7 + 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.
7 + 2x + -1x = -2 + x + -1x

Combine like terms: 2x + -1x = 1x
7 + 1x = -2 + x + -1x

Combine like terms: x + -1x = 0
7 + 1x = -2 + 0
7 + 1x = -2

Add '-7' to each side of the equation.
7 + -7 + 1x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -2 + -7
1x = -2 + -7

Combine like terms: -2 + -7 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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