90=(3x+11)+(10x-12)

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Solution for 90=(3x+11)+(10x-12) equation: 


Simplifying
90 = (3x + 11) + (10x + -12)

Reorder the terms:
90 = (11 + 3x) + (10x + -12)

Remove parenthesis around (11 + 3x)
90 = 11 + 3x + (10x + -12)

Reorder the terms:
90 = 11 + 3x + (-12 + 10x)

Remove parenthesis around (-12 + 10x)
90 = 11 + 3x + -12 + 10x

Reorder the terms:
90 = 11 + -12 + 3x + 10x

Combine like terms: 11 + -12 = -1
90 = -1 + 3x + 10x

Combine like terms: 3x + 10x = 13x
90 = -1 + 13x

Solving
90 = -1 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
90 + -13x = -1 + 13x + -13x

Combine like terms: 13x + -13x = 0
90 + -13x = -1 + 0
90 + -13x = -1

Add '-90' to each side of the equation.
90 + -90 + -13x = -1 + -90

Combine like terms: 90 + -90 = 0
0 + -13x = -1 + -90
-13x = -1 + -90

Combine like terms: -1 + -90 = -91
-13x = -91

Divide each side by '-13'.
x = 7

Simplifying
x = 7

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