-(x-7)+53=2(x+9)

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Solution for -(x-7)+53=2(x+9) equation:


Simplifying
-1(x + -7) + 53 = 2(x + 9)

Reorder the terms:
-1(-7 + x) + 53 = 2(x + 9)
(-7 * -1 + x * -1) + 53 = 2(x + 9)
(7 + -1x) + 53 = 2(x + 9)

Reorder the terms:
7 + 53 + -1x = 2(x + 9)

Combine like terms: 7 + 53 = 60
60 + -1x = 2(x + 9)

Reorder the terms:
60 + -1x = 2(9 + x)
60 + -1x = (9 * 2 + x * 2)
60 + -1x = (18 + 2x)

Solving
60 + -1x = 18 + 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.
60 + -1x + -2x = 18 + 2x + -2x

Combine like terms: -1x + -2x = -3x
60 + -3x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + -3x = 18 + 0
60 + -3x = 18

Add '-60' to each side of the equation.
60 + -60 + -3x = 18 + -60

Combine like terms: 60 + -60 = 0
0 + -3x = 18 + -60
-3x = 18 + -60

Combine like terms: 18 + -60 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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