(3x-5)+(8x-13)=180

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Solution for (3x-5)+(8x-13)=180 equation:


Simplifying
(3x + -5) + (8x + -13) = 180

Reorder the terms:
(-5 + 3x) + (8x + -13) = 180

Remove parenthesis around (-5 + 3x)
-5 + 3x + (8x + -13) = 180

Reorder the terms:
-5 + 3x + (-13 + 8x) = 180

Remove parenthesis around (-13 + 8x)
-5 + 3x + -13 + 8x = 180

Reorder the terms:
-5 + -13 + 3x + 8x = 180

Combine like terms: -5 + -13 = -18
-18 + 3x + 8x = 180

Combine like terms: 3x + 8x = 11x
-18 + 11x = 180

Solving
-18 + 11x = 180

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 11x = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 11x = 180 + 18
11x = 180 + 18

Combine like terms: 180 + 18 = 198
11x = 198

Divide each side by '11'.
x = 18

Simplifying
x = 18

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