(10x-5)+(6x-7)=180

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Solution for (10x-5)+(6x-7)=180 equation:


Simplifying
(10x + -5) + (6x + -7) = 180

Reorder the terms:
(-5 + 10x) + (6x + -7) = 180

Remove parenthesis around (-5 + 10x)
-5 + 10x + (6x + -7) = 180

Reorder the terms:
-5 + 10x + (-7 + 6x) = 180

Remove parenthesis around (-7 + 6x)
-5 + 10x + -7 + 6x = 180

Reorder the terms:
-5 + -7 + 10x + 6x = 180

Combine like terms: -5 + -7 = -12
-12 + 10x + 6x = 180

Combine like terms: 10x + 6x = 16x
-12 + 16x = 180

Solving
-12 + 16x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 16x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 16x = 180 + 12
16x = 180 + 12

Combine like terms: 180 + 12 = 192
16x = 192

Divide each side by '16'.
x = 12

Simplifying
x = 12

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