(7x-13)+(4x+15)=90

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Solution for (7x-13)+(4x+15)=90 equation:


Simplifying
(7x + -13) + (4x + 15) = 90

Reorder the terms:
(-13 + 7x) + (4x + 15) = 90

Remove parenthesis around (-13 + 7x)
-13 + 7x + (4x + 15) = 90

Reorder the terms:
-13 + 7x + (15 + 4x) = 90

Remove parenthesis around (15 + 4x)
-13 + 7x + 15 + 4x = 90

Reorder the terms:
-13 + 15 + 7x + 4x = 90

Combine like terms: -13 + 15 = 2
2 + 7x + 4x = 90

Combine like terms: 7x + 4x = 11x
2 + 11x = 90

Solving
2 + 11x = 90

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 11x = 90 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 90 + -2
11x = 90 + -2

Combine like terms: 90 + -2 = 88
11x = 88

Divide each side by '11'.
x = 8

Simplifying
x = 8

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