(4x-28)+(9x-17)+30=180

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Solution for (4x-28)+(9x-17)+30=180 equation:


Simplifying
(4x + -28) + (9x + -17) + 30 = 180

Reorder the terms:
(-28 + 4x) + (9x + -17) + 30 = 180

Remove parenthesis around (-28 + 4x)
-28 + 4x + (9x + -17) + 30 = 180

Reorder the terms:
-28 + 4x + (-17 + 9x) + 30 = 180

Remove parenthesis around (-17 + 9x)
-28 + 4x + -17 + 9x + 30 = 180

Reorder the terms:
-28 + -17 + 30 + 4x + 9x = 180

Combine like terms: -28 + -17 = -45
-45 + 30 + 4x + 9x = 180

Combine like terms: -45 + 30 = -15
-15 + 4x + 9x = 180

Combine like terms: 4x + 9x = 13x
-15 + 13x = 180

Solving
-15 + 13x = 180

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 13x = 180 + 15

Combine like terms: -15 + 15 = 0
0 + 13x = 180 + 15
13x = 180 + 15

Combine like terms: 180 + 15 = 195
13x = 195

Divide each side by '13'.
x = 15

Simplifying
x = 15

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