7.1x-5.077=0.42(6x-5)

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Solution for 7.1x-5.077=0.42(6x-5) equation: 


Simplifying
7.1x + -5.077 = 0.42(6x + -5)

Reorder the terms:
-5.077 + 7.1x = 0.42(6x + -5)

Reorder the terms:
-5.077 + 7.1x = 0.42(-5 + 6x)
-5.077 + 7.1x = (-5 * 0.42 + 6x * 0.42)
-5.077 + 7.1x = (-2.1 + 2.52x)

Solving
-5.077 + 7.1x = -2.1 + 2.52x

Solving for variable 'x'.

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

Add '-2.52x' to each side of the equation.
-5.077 + 7.1x + -2.52x = -2.1 + 2.52x + -2.52x

Combine like terms: 7.1x + -2.52x = 4.58x
-5.077 + 4.58x = -2.1 + 2.52x + -2.52x

Combine like terms: 2.52x + -2.52x = 0.00
-5.077 + 4.58x = -2.1 + 0.00
-5.077 + 4.58x = -2.1

Add '5.077' to each side of the equation.
-5.077 + 5.077 + 4.58x = -2.1 + 5.077

Combine like terms: -5.077 + 5.077 = 0.000
0.000 + 4.58x = -2.1 + 5.077
4.58x = -2.1 + 5.077

Combine like terms: -2.1 + 5.077 = 2.977
4.58x = 2.977

Divide each side by '4.58'.
x = 0.65

Simplifying
x = 0.65

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