3x=(5x-6)+90

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


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

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

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

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

Combine like terms: -6 + 90 = 84
3x = 84 + 5x

Solving
3x = 84 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3x + -5x = 84 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-2x = 84 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2x = 84 + 0
-2x = 84

Divide each side by '-2'.
x = -42

Simplifying
x = -42

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