(x-2)+7=2(x+4)

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Solution for (x-2)+7=2(x+4) equation:


Simplifying
(x + -2) + 7 = 2(x + 4)

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

Remove parenthesis around (-2 + x)
-2 + x + 7 = 2(x + 4)

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

Combine like terms: -2 + 7 = 5
5 + x = 2(x + 4)

Reorder the terms:
5 + x = 2(4 + x)
5 + x = (4 * 2 + x * 2)
5 + x = (8 + 2x)

Solving
5 + x = 8 + 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.
5 + x + -2x = 8 + 2x + -2x

Combine like terms: x + -2x = -1x
5 + -1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -1x = 8 + 0
5 + -1x = 8

Add '-5' to each side of the equation.
5 + -5 + -1x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 8 + -5
-1x = 8 + -5

Combine like terms: 8 + -5 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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