5.2x-3.8=6.9x+13.7

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Solution for 5.2x-3.8=6.9x+13.7 equation:


Simplifying
5.2x + -3.8 = 6.9x + 13.7

Reorder the terms:
-3.8 + 5.2x = 6.9x + 13.7

Reorder the terms:
-3.8 + 5.2x = 13.7 + 6.9x

Solving
-3.8 + 5.2x = 13.7 + 6.9x

Solving for variable 'x'.

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

Add '-6.9x' to each side of the equation.
-3.8 + 5.2x + -6.9x = 13.7 + 6.9x + -6.9x

Combine like terms: 5.2x + -6.9x = -1.7x
-3.8 + -1.7x = 13.7 + 6.9x + -6.9x

Combine like terms: 6.9x + -6.9x = 0.0
-3.8 + -1.7x = 13.7 + 0.0
-3.8 + -1.7x = 13.7

Add '3.8' to each side of the equation.
-3.8 + 3.8 + -1.7x = 13.7 + 3.8

Combine like terms: -3.8 + 3.8 = 0.0
0.0 + -1.7x = 13.7 + 3.8
-1.7x = 13.7 + 3.8

Combine like terms: 13.7 + 3.8 = 17.5
-1.7x = 17.5

Divide each side by '-1.7'.
x = -10.29411765

Simplifying
x = -10.29411765

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