(7x-2)+(5x+8)=90

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Solution for (7x-2)+(5x+8)=90 equation:


Simplifying
(7x + -2) + (5x + 8) = 90

Reorder the terms:
(-2 + 7x) + (5x + 8) = 90

Remove parenthesis around (-2 + 7x)
-2 + 7x + (5x + 8) = 90

Reorder the terms:
-2 + 7x + (8 + 5x) = 90

Remove parenthesis around (8 + 5x)
-2 + 7x + 8 + 5x = 90

Reorder the terms:
-2 + 8 + 7x + 5x = 90

Combine like terms: -2 + 8 = 6
6 + 7x + 5x = 90

Combine like terms: 7x + 5x = 12x
6 + 12x = 90

Solving
6 + 12x = 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 + 12x = 90 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = 90 + -6
12x = 90 + -6

Combine like terms: 90 + -6 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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