8.14x+13.02=5.16x+33.88

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Solution for 8.14x+13.02=5.16x+33.88 equation: 


Simplifying
8.14x + 13.02 = 5.16x + 33.88

Reorder the terms:
13.02 + 8.14x = 5.16x + 33.88

Reorder the terms:
13.02 + 8.14x = 33.88 + 5.16x

Solving
13.02 + 8.14x = 33.88 + 5.16x

Solving for variable 'x'.

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

Add '-5.16x' to each side of the equation.
13.02 + 8.14x + -5.16x = 33.88 + 5.16x + -5.16x

Combine like terms: 8.14x + -5.16x = 2.98x
13.02 + 2.98x = 33.88 + 5.16x + -5.16x

Combine like terms: 5.16x + -5.16x = 0.00
13.02 + 2.98x = 33.88 + 0.00
13.02 + 2.98x = 33.88

Add '-13.02' to each side of the equation.
13.02 + -13.02 + 2.98x = 33.88 + -13.02

Combine like terms: 13.02 + -13.02 = 0.00
0.00 + 2.98x = 33.88 + -13.02
2.98x = 33.88 + -13.02

Combine like terms: 33.88 + -13.02 = 20.86
2.98x = 20.86

Divide each side by '2.98'.
x = 7

Simplifying
x = 7

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