90=(3x-4)+(5x+6)

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Solution for 90=(3x-4)+(5x+6) equation:


Simplifying
90 = (3x + -4) + (5x + 6)

Reorder the terms:
90 = (-4 + 3x) + (5x + 6)

Remove parenthesis around (-4 + 3x)
90 = -4 + 3x + (5x + 6)

Reorder the terms:
90 = -4 + 3x + (6 + 5x)

Remove parenthesis around (6 + 5x)
90 = -4 + 3x + 6 + 5x

Reorder the terms:
90 = -4 + 6 + 3x + 5x

Combine like terms: -4 + 6 = 2
90 = 2 + 3x + 5x

Combine like terms: 3x + 5x = 8x
90 = 2 + 8x

Solving
90 = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
90 + -8x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
90 + -8x = 2 + 0
90 + -8x = 2

Add '-90' to each side of the equation.
90 + -90 + -8x = 2 + -90

Combine like terms: 90 + -90 = 0
0 + -8x = 2 + -90
-8x = 2 + -90

Combine like terms: 2 + -90 = -88
-8x = -88

Divide each side by '-8'.
x = 11

Simplifying
x = 11

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