5x+6=83x-3

Solution for 5x+6=83x-3 equation:

Simplifying
5x + 6 = 83x + -3

Reorder the terms:
6 + 5x = 83x + -3

Reorder the terms:
6 + 5x = -3 + 83x

Solving
6 + 5x = -3 + 83x

Solving for variable 'x'.

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

Add '-83x' to each side of the equation.
6 + 5x + -83x = -3 + 83x + -83x

Combine like terms: 5x + -83x = -78x
6 + -78x = -3 + 83x + -83x

Combine like terms: 83x + -83x = 0
6 + -78x = -3 + 0
6 + -78x = -3

Add '-6' to each side of the equation.
6 + -6 + -78x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -78x = -3 + -6
-78x = -3 + -6

Combine like terms: -3 + -6 = -9
-78x = -9

Divide each side by '-78'.
x = 0.1153846154

Simplifying
x = 0.1153846154