(3x-7)+(x+13)=90

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Solution for (3x-7)+(x+13)=90 equation:


Simplifying
(3x + -7) + (x + 13) = 90

Reorder the terms:
(-7 + 3x) + (x + 13) = 90

Remove parenthesis around (-7 + 3x)
-7 + 3x + (x + 13) = 90

Reorder the terms:
-7 + 3x + (13 + x) = 90

Remove parenthesis around (13 + x)
-7 + 3x + 13 + x = 90

Reorder the terms:
-7 + 13 + 3x + x = 90

Combine like terms: -7 + 13 = 6
6 + 3x + x = 90

Combine like terms: 3x + x = 4x
6 + 4x = 90

Solving
6 + 4x = 90

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 90 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 90 + -6
4x = 90 + -6

Combine like terms: 90 + -6 = 84
4x = 84

Divide each side by '4'.
x = 21

Simplifying
x = 21

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