(5x-7)+(3x+17)=180

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Solution for (5x-7)+(3x+17)=180 equation:


Simplifying
(5x + -7) + (3x + 17) = 180

Reorder the terms:
(-7 + 5x) + (3x + 17) = 180

Remove parenthesis around (-7 + 5x)
-7 + 5x + (3x + 17) = 180

Reorder the terms:
-7 + 5x + (17 + 3x) = 180

Remove parenthesis around (17 + 3x)
-7 + 5x + 17 + 3x = 180

Reorder the terms:
-7 + 17 + 5x + 3x = 180

Combine like terms: -7 + 17 = 10
10 + 5x + 3x = 180

Combine like terms: 5x + 3x = 8x
10 + 8x = 180

Solving
10 + 8x = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 8x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 180 + -10
8x = 180 + -10

Combine like terms: 180 + -10 = 170
8x = 170

Divide each side by '8'.
x = 21.25

Simplifying
x = 21.25

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