3x+6=-4x+90

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


Simplifying
3x + 6 = -4x + 90

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

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

Solving
6 + 3x = 90 + -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.
6 + 3x + 4x = 90 + -4x + 4x

Combine like terms: 3x + 4x = 7x
6 + 7x = 90 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 7x = 90 + 0
6 + 7x = 90

Add '-6' to each side of the equation.
6 + -6 + 7x = 90 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 90 + -6
7x = 90 + -6

Combine like terms: 90 + -6 = 84
7x = 84

Divide each side by '7'.
x = 12

Simplifying
x = 12

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