(6x+13)+(14x-33)=90

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Solution for (6x+13)+(14x-33)=90 equation:


Simplifying
(6x + 13) + (14x + -33) = 90

Reorder the terms:
(13 + 6x) + (14x + -33) = 90

Remove parenthesis around (13 + 6x)
13 + 6x + (14x + -33) = 90

Reorder the terms:
13 + 6x + (-33 + 14x) = 90

Remove parenthesis around (-33 + 14x)
13 + 6x + -33 + 14x = 90

Reorder the terms:
13 + -33 + 6x + 14x = 90

Combine like terms: 13 + -33 = -20
-20 + 6x + 14x = 90

Combine like terms: 6x + 14x = 20x
-20 + 20x = 90

Solving
-20 + 20x = 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 + 20x = 90 + 20

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

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

Divide each side by '20'.
x = 5.5

Simplifying
x = 5.5

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