(2x-5)+(5x-10)=90

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Solution for (2x-5)+(5x-10)=90 equation:


Simplifying
(2x + -5) + (5x + -10) = 90

Reorder the terms:
(-5 + 2x) + (5x + -10) = 90

Remove parenthesis around (-5 + 2x)
-5 + 2x + (5x + -10) = 90

Reorder the terms:
-5 + 2x + (-10 + 5x) = 90

Remove parenthesis around (-10 + 5x)
-5 + 2x + -10 + 5x = 90

Reorder the terms:
-5 + -10 + 2x + 5x = 90

Combine like terms: -5 + -10 = -15
-15 + 2x + 5x = 90

Combine like terms: 2x + 5x = 7x
-15 + 7x = 90

Solving
-15 + 7x = 90

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 + 7x = 90 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 90 + 15
7x = 90 + 15

Combine like terms: 90 + 15 = 105
7x = 105

Divide each side by '7'.
x = 15

Simplifying
x = 15

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