5x+6=76x-2

Solution for 5x+6=76x-2 equation:

Simplifying
5x + 6 = 76x + -2

Reorder the terms:
6 + 5x = 76x + -2

Reorder the terms:
6 + 5x = -2 + 76x

Solving
6 + 5x = -2 + 76x

Solving for variable 'x'.

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

Add '-76x' to each side of the equation.
6 + 5x + -76x = -2 + 76x + -76x

Combine like terms: 5x + -76x = -71x
6 + -71x = -2 + 76x + -76x

Combine like terms: 76x + -76x = 0
6 + -71x = -2 + 0
6 + -71x = -2

Add '-6' to each side of the equation.
6 + -6 + -71x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -71x = -2 + -6
-71x = -2 + -6

Combine like terms: -2 + -6 = -8
-71x = -8

Divide each side by '-71'.
x = 0.1126760563

Simplifying
x = 0.1126760563