(5x-3)+(10x-27)=180

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Solution for (5x-3)+(10x-27)=180 equation:


Simplifying
(5x + -3) + (10x + -27) = 180

Reorder the terms:
(-3 + 5x) + (10x + -27) = 180

Remove parenthesis around (-3 + 5x)
-3 + 5x + (10x + -27) = 180

Reorder the terms:
-3 + 5x + (-27 + 10x) = 180

Remove parenthesis around (-27 + 10x)
-3 + 5x + -27 + 10x = 180

Reorder the terms:
-3 + -27 + 5x + 10x = 180

Combine like terms: -3 + -27 = -30
-30 + 5x + 10x = 180

Combine like terms: 5x + 10x = 15x
-30 + 15x = 180

Solving
-30 + 15x = 180

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 15x = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 15x = 180 + 30
15x = 180 + 30

Combine like terms: 180 + 30 = 210
15x = 210

Divide each side by '15'.
x = 14

Simplifying
x = 14

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