(2x-20)+(5x-13)=90

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Solution for (2x-20)+(5x-13)=90 equation:


Simplifying
(2x + -20) + (5x + -13) = 90

Reorder the terms:
(-20 + 2x) + (5x + -13) = 90

Remove parenthesis around (-20 + 2x)
-20 + 2x + (5x + -13) = 90

Reorder the terms:
-20 + 2x + (-13 + 5x) = 90

Remove parenthesis around (-13 + 5x)
-20 + 2x + -13 + 5x = 90

Reorder the terms:
-20 + -13 + 2x + 5x = 90

Combine like terms: -20 + -13 = -33
-33 + 2x + 5x = 90

Combine like terms: 2x + 5x = 7x
-33 + 7x = 90

Solving
-33 + 7x = 90

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + 7x = 90 + 33

Combine like terms: -33 + 33 = 0
0 + 7x = 90 + 33
7x = 90 + 33

Combine like terms: 90 + 33 = 123
7x = 123

Divide each side by '7'.
x = 17.57142857

Simplifying
x = 17.57142857

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