3x+46=5x-90

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Solution for 3x+46=5x-90 equation:


Simplifying
3x + 46 = 5x + -90

Reorder the terms:
46 + 3x = 5x + -90

Reorder the terms:
46 + 3x = -90 + 5x

Solving
46 + 3x = -90 + 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.
46 + 3x + -5x = -90 + 5x + -5x

Combine like terms: 3x + -5x = -2x
46 + -2x = -90 + 5x + -5x

Combine like terms: 5x + -5x = 0
46 + -2x = -90 + 0
46 + -2x = -90

Add '-46' to each side of the equation.
46 + -46 + -2x = -90 + -46

Combine like terms: 46 + -46 = 0
0 + -2x = -90 + -46
-2x = -90 + -46

Combine like terms: -90 + -46 = -136
-2x = -136

Divide each side by '-2'.
x = 68

Simplifying
x = 68

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