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

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


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

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

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

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

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

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

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

Combine like terms: 2x + 3x = 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 = 95
5x = 95

Divide each side by '5'.
x = 19

Simplifying
x = 19

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