(3x+10)+(2x-5)=90

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Solution for (3x+10)+(2x-5)=90 equation:


Simplifying
(3x + 10) + (2x + -5) = 90

Reorder the terms:
(10 + 3x) + (2x + -5) = 90

Remove parenthesis around (10 + 3x)
10 + 3x + (2x + -5) = 90

Reorder the terms:
10 + 3x + (-5 + 2x) = 90

Remove parenthesis around (-5 + 2x)
10 + 3x + -5 + 2x = 90

Reorder the terms:
10 + -5 + 3x + 2x = 90

Combine like terms: 10 + -5 = 5
5 + 3x + 2x = 90

Combine like terms: 3x + 2x = 5x
5 + 5x = 90

Solving
5 + 5x = 90

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 5x = 90 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 90 + -5
5x = 90 + -5

Combine like terms: 90 + -5 = 85
5x = 85

Divide each side by '5'.
x = 17

Simplifying
x = 17

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