(x-3)-14=2(x-7)+9

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Solution for (x-3)-14=2(x-7)+9 equation:


Simplifying
(x + -3) + -14 = 2(x + -7) + 9

Reorder the terms:
(-3 + x) + -14 = 2(x + -7) + 9

Remove parenthesis around (-3 + x)
-3 + x + -14 = 2(x + -7) + 9

Reorder the terms:
-3 + -14 + x = 2(x + -7) + 9

Combine like terms: -3 + -14 = -17
-17 + x = 2(x + -7) + 9

Reorder the terms:
-17 + x = 2(-7 + x) + 9
-17 + x = (-7 * 2 + x * 2) + 9
-17 + x = (-14 + 2x) + 9

Reorder the terms:
-17 + x = -14 + 9 + 2x

Combine like terms: -14 + 9 = -5
-17 + x = -5 + 2x

Solving
-17 + x = -5 + 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.
-17 + x + -2x = -5 + 2x + -2x

Combine like terms: x + -2x = -1x
-17 + -1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + -1x = -5 + 0
-17 + -1x = -5

Add '17' to each side of the equation.
-17 + 17 + -1x = -5 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = -5 + 17
-1x = -5 + 17

Combine like terms: -5 + 17 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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