(7x-6)+(x-14)=180

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Solution for (7x-6)+(x-14)=180 equation:


Simplifying
(7x + -6) + (x + -14) = 180

Reorder the terms:
(-6 + 7x) + (x + -14) = 180

Remove parenthesis around (-6 + 7x)
-6 + 7x + (x + -14) = 180

Reorder the terms:
-6 + 7x + (-14 + x) = 180

Remove parenthesis around (-14 + x)
-6 + 7x + -14 + x = 180

Reorder the terms:
-6 + -14 + 7x + x = 180

Combine like terms: -6 + -14 = -20
-20 + 7x + x = 180

Combine like terms: 7x + x = 8x
-20 + 8x = 180

Solving
-20 + 8x = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 8x = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 180 + 20
8x = 180 + 20

Combine like terms: 180 + 20 = 200
8x = 200

Divide each side by '8'.
x = 25

Simplifying
x = 25

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