(15x-52)+(7x-10)=180

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Solution for (15x-52)+(7x-10)=180 equation:


Simplifying
(15x + -52) + (7x + -10) = 180

Reorder the terms:
(-52 + 15x) + (7x + -10) = 180

Remove parenthesis around (-52 + 15x)
-52 + 15x + (7x + -10) = 180

Reorder the terms:
-52 + 15x + (-10 + 7x) = 180

Remove parenthesis around (-10 + 7x)
-52 + 15x + -10 + 7x = 180

Reorder the terms:
-52 + -10 + 15x + 7x = 180

Combine like terms: -52 + -10 = -62
-62 + 15x + 7x = 180

Combine like terms: 15x + 7x = 22x
-62 + 22x = 180

Solving
-62 + 22x = 180

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 22x = 180 + 62

Combine like terms: -62 + 62 = 0
0 + 22x = 180 + 62
22x = 180 + 62

Combine like terms: 180 + 62 = 242
22x = 242

Divide each side by '22'.
x = 11

Simplifying
x = 11

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