x+7=2(x-2)

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


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

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

Reorder the terms:
7 + x = 2(-2 + x)
7 + x = (-2 * 2 + x * 2)
7 + x = (-4 + 2x)

Solving
7 + x = -4 + 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.
7 + x + -2x = -4 + 2x + -2x

Combine like terms: x + -2x = -1x
7 + -1x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -1x = -4 + 0
7 + -1x = -4

Add '-7' to each side of the equation.
7 + -7 + -1x = -4 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -4 + -7
-1x = -4 + -7

Combine like terms: -4 + -7 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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