90=(-3x+46)+(7x-24)

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Solution for 90=(-3x+46)+(7x-24) equation: 


Simplifying
90 = (-3x + 46) + (7x + -24)

Reorder the terms:
90 = (46 + -3x) + (7x + -24)

Remove parenthesis around (46 + -3x)
90 = 46 + -3x + (7x + -24)

Reorder the terms:
90 = 46 + -3x + (-24 + 7x)

Remove parenthesis around (-24 + 7x)
90 = 46 + -3x + -24 + 7x

Reorder the terms:
90 = 46 + -24 + -3x + 7x

Combine like terms: 46 + -24 = 22
90 = 22 + -3x + 7x

Combine like terms: -3x + 7x = 4x
90 = 22 + 4x

Solving
90 = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
90 + -4x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
90 + -4x = 22 + 0
90 + -4x = 22

Add '-90' to each side of the equation.
90 + -90 + -4x = 22 + -90

Combine like terms: 90 + -90 = 0
0 + -4x = 22 + -90
-4x = 22 + -90

Combine like terms: 22 + -90 = -68
-4x = -68

Divide each side by '-4'.
x = 17

Simplifying
x = 17

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