(x-2+6)*6=(x-5+7)*7

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Solution for (x-2+6)*6=(x-5+7)*7 equation:


Simplifying
(x + -2 + 6) * 6 = (x + -5 + 7) * 7

Reorder the terms:
(-2 + 6 + x) * 6 = (x + -5 + 7) * 7

Combine like terms: -2 + 6 = 4
(4 + x) * 6 = (x + -5 + 7) * 7

Reorder the terms for easier multiplication:
6(4 + x) = (x + -5 + 7) * 7
(4 * 6 + x * 6) = (x + -5 + 7) * 7
(24 + 6x) = (x + -5 + 7) * 7

Reorder the terms:
24 + 6x = (-5 + 7 + x) * 7

Combine like terms: -5 + 7 = 2
24 + 6x = (2 + x) * 7

Reorder the terms for easier multiplication:
24 + 6x = 7(2 + x)
24 + 6x = (2 * 7 + x * 7)
24 + 6x = (14 + 7x)

Solving
24 + 6x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + 6x + -7x = 14 + 7x + -7x

Combine like terms: 6x + -7x = -1x
24 + -1x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -1x = 14 + 0
24 + -1x = 14

Add '-24' to each side of the equation.
24 + -24 + -1x = 14 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 14 + -24
-1x = 14 + -24

Combine like terms: 14 + -24 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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