(5x-3)+(6x-17)=90

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Solution for (5x-3)+(6x-17)=90 equation:


Simplifying
(5x + -3) + (6x + -17) = 90

Reorder the terms:
(-3 + 5x) + (6x + -17) = 90

Remove parenthesis around (-3 + 5x)
-3 + 5x + (6x + -17) = 90

Reorder the terms:
-3 + 5x + (-17 + 6x) = 90

Remove parenthesis around (-17 + 6x)
-3 + 5x + -17 + 6x = 90

Reorder the terms:
-3 + -17 + 5x + 6x = 90

Combine like terms: -3 + -17 = -20
-20 + 5x + 6x = 90

Combine like terms: 5x + 6x = 11x
-20 + 11x = 90

Solving
-20 + 11x = 90

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 11x = 90 + 20

Combine like terms: -20 + 20 = 0
0 + 11x = 90 + 20
11x = 90 + 20

Combine like terms: 90 + 20 = 110
11x = 110

Divide each side by '11'.
x = 10

Simplifying
x = 10

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