(11x-47)+(10x-26)+64=180

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Solution for (11x-47)+(10x-26)+64=180 equation:


Simplifying
(11x + -47) + (10x + -26) + 64 = 180

Reorder the terms:
(-47 + 11x) + (10x + -26) + 64 = 180

Remove parenthesis around (-47 + 11x)
-47 + 11x + (10x + -26) + 64 = 180

Reorder the terms:
-47 + 11x + (-26 + 10x) + 64 = 180

Remove parenthesis around (-26 + 10x)
-47 + 11x + -26 + 10x + 64 = 180

Reorder the terms:
-47 + -26 + 64 + 11x + 10x = 180

Combine like terms: -47 + -26 = -73
-73 + 64 + 11x + 10x = 180

Combine like terms: -73 + 64 = -9
-9 + 11x + 10x = 180

Combine like terms: 11x + 10x = 21x
-9 + 21x = 180

Solving
-9 + 21x = 180

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 21x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 21x = 180 + 9
21x = 180 + 9

Combine like terms: 180 + 9 = 189
21x = 189

Divide each side by '21'.
x = 9

Simplifying
x = 9

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