5.2x+10.1=7.1x-5.1

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Solution for 5.2x+10.1=7.1x-5.1 equation: 


Simplifying
5.2x + 10.1 = 7.1x + -5.1

Reorder the terms:
10.1 + 5.2x = 7.1x + -5.1

Reorder the terms:
10.1 + 5.2x = -5.1 + 7.1x

Solving
10.1 + 5.2x = -5.1 + 7.1x

Solving for variable 'x'.

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

Add '-7.1x' to each side of the equation.
10.1 + 5.2x + -7.1x = -5.1 + 7.1x + -7.1x

Combine like terms: 5.2x + -7.1x = -1.9x
10.1 + -1.9x = -5.1 + 7.1x + -7.1x

Combine like terms: 7.1x + -7.1x = 0.0
10.1 + -1.9x = -5.1 + 0.0
10.1 + -1.9x = -5.1

Add '-10.1' to each side of the equation.
10.1 + -10.1 + -1.9x = -5.1 + -10.1

Combine like terms: 10.1 + -10.1 = 0.0
0.0 + -1.9x = -5.1 + -10.1
-1.9x = -5.1 + -10.1

Combine like terms: -5.1 + -10.1 = -15.2
-1.9x = -15.2

Divide each side by '-1.9'.
x = 8

Simplifying
x = 8

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