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

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


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

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

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

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

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

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

Solving
7 + x = -18 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
7 + x + -9x = -18 + 9x + -9x

Combine like terms: x + -9x = -8x
7 + -8x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
7 + -8x = -18 + 0
7 + -8x = -18

Add '-7' to each side of the equation.
7 + -7 + -8x = -18 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -18 + -7
-8x = -18 + -7

Combine like terms: -18 + -7 = -25
-8x = -25

Divide each side by '-8'.
x = 3.125

Simplifying
x = 3.125

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