(6-x)+12=(10x+7)

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Solution for (6-x)+12=(10x+7) equation:


Simplifying
(6 + -1x) + 12 = (10x + 7)

Remove parenthesis around (6 + -1x)
6 + -1x + 12 = (10x + 7)

Reorder the terms:
6 + 12 + -1x = (10x + 7)

Combine like terms: 6 + 12 = 18
18 + -1x = (10x + 7)

Reorder the terms:
18 + -1x = (7 + 10x)

Remove parenthesis around (7 + 10x)
18 + -1x = 7 + 10x

Solving
18 + -1x = 7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
18 + -1x + -10x = 7 + 10x + -10x

Combine like terms: -1x + -10x = -11x
18 + -11x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -11x = 7 + 0
18 + -11x = 7

Add '-18' to each side of the equation.
18 + -18 + -11x = 7 + -18

Combine like terms: 18 + -18 = 0
0 + -11x = 7 + -18
-11x = 7 + -18

Combine like terms: 7 + -18 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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