(x-2)=2(x+3)+7

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Solution for (x-2)=2(x+3)+7 equation:


Simplifying
(x + -2) = 2(x + 3) + 7

Reorder the terms:
(-2 + x) = 2(x + 3) + 7

Remove parenthesis around (-2 + x)
-2 + x = 2(x + 3) + 7

Reorder the terms:
-2 + x = 2(3 + x) + 7
-2 + x = (3 * 2 + x * 2) + 7
-2 + x = (6 + 2x) + 7

Reorder the terms:
-2 + x = 6 + 7 + 2x

Combine like terms: 6 + 7 = 13
-2 + x = 13 + 2x

Solving
-2 + x = 13 + 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 = 13 + 2x + -2x

Combine like terms: x + -2x = -1x
-2 + -1x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -1x = 13 + 0
-2 + -1x = 13

Add '2' to each side of the equation.
-2 + 2 + -1x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 13 + 2
-1x = 13 + 2

Combine like terms: 13 + 2 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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