(3x-15)+(2x-30)=180

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Solution for (3x-15)+(2x-30)=180 equation:


Simplifying
(3x + -15) + (2x + -30) = 180

Reorder the terms:
(-15 + 3x) + (2x + -30) = 180

Remove parenthesis around (-15 + 3x)
-15 + 3x + (2x + -30) = 180

Reorder the terms:
-15 + 3x + (-30 + 2x) = 180

Remove parenthesis around (-30 + 2x)
-15 + 3x + -30 + 2x = 180

Reorder the terms:
-15 + -30 + 3x + 2x = 180

Combine like terms: -15 + -30 = -45
-45 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-45 + 5x = 180

Solving
-45 + 5x = 180

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 5x = 180 + 45

Combine like terms: -45 + 45 = 0
0 + 5x = 180 + 45
5x = 180 + 45

Combine like terms: 180 + 45 = 225
5x = 225

Divide each side by '5'.
x = 45

Simplifying
x = 45

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