45x-16=-20x+116

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Solution for 45x-16=-20x+116 equation:


Simplifying
45x + -16 = -20x + 116

Reorder the terms:
-16 + 45x = -20x + 116

Reorder the terms:
-16 + 45x = 116 + -20x

Solving
-16 + 45x = 116 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-16 + 45x + 20x = 116 + -20x + 20x

Combine like terms: 45x + 20x = 65x
-16 + 65x = 116 + -20x + 20x

Combine like terms: -20x + 20x = 0
-16 + 65x = 116 + 0
-16 + 65x = 116

Add '16' to each side of the equation.
-16 + 16 + 65x = 116 + 16

Combine like terms: -16 + 16 = 0
0 + 65x = 116 + 16
65x = 116 + 16

Combine like terms: 116 + 16 = 132
65x = 132

Divide each side by '65'.
x = 2.030769231

Simplifying
x = 2.030769231

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