(5x-10)+(4x+28)=180

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Solution for (5x-10)+(4x+28)=180 equation:


Simplifying
(5x + -10) + (4x + 28) = 180

Reorder the terms:
(-10 + 5x) + (4x + 28) = 180

Remove parenthesis around (-10 + 5x)
-10 + 5x + (4x + 28) = 180

Reorder the terms:
-10 + 5x + (28 + 4x) = 180

Remove parenthesis around (28 + 4x)
-10 + 5x + 28 + 4x = 180

Reorder the terms:
-10 + 28 + 5x + 4x = 180

Combine like terms: -10 + 28 = 18
18 + 5x + 4x = 180

Combine like terms: 5x + 4x = 9x
18 + 9x = 180

Solving
18 + 9x = 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 + 9x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 180 + -18
9x = 180 + -18

Combine like terms: 180 + -18 = 162
9x = 162

Divide each side by '9'.
x = 18

Simplifying
x = 18

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