(5x-17)+(3x-11)=180

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Solution for (5x-17)+(3x-11)=180 equation:


Simplifying
(5x + -17) + (3x + -11) = 180

Reorder the terms:
(-17 + 5x) + (3x + -11) = 180

Remove parenthesis around (-17 + 5x)
-17 + 5x + (3x + -11) = 180

Reorder the terms:
-17 + 5x + (-11 + 3x) = 180

Remove parenthesis around (-11 + 3x)
-17 + 5x + -11 + 3x = 180

Reorder the terms:
-17 + -11 + 5x + 3x = 180

Combine like terms: -17 + -11 = -28
-28 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
-28 + 8x = 180

Solving
-28 + 8x = 180

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 8x = 180 + 28

Combine like terms: -28 + 28 = 0
0 + 8x = 180 + 28
8x = 180 + 28

Combine like terms: 180 + 28 = 208
8x = 208

Divide each side by '8'.
x = 26

Simplifying
x = 26

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