(2x-10)+(3x-15)=180

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Solution for (2x-10)+(3x-15)=180 equation:


Simplifying
(2x + -10) + (3x + -15) = 180

Reorder the terms:
(-10 + 2x) + (3x + -15) = 180

Remove parenthesis around (-10 + 2x)
-10 + 2x + (3x + -15) = 180

Reorder the terms:
-10 + 2x + (-15 + 3x) = 180

Remove parenthesis around (-15 + 3x)
-10 + 2x + -15 + 3x = 180

Reorder the terms:
-10 + -15 + 2x + 3x = 180

Combine like terms: -10 + -15 = -25
-25 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-25 + 5x = 180

Solving
-25 + 5x = 180

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 5x = 180 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = 180 + 25
5x = 180 + 25

Combine like terms: 180 + 25 = 205
5x = 205

Divide each side by '5'.
x = 41

Simplifying
x = 41

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