0.75x+6=x-2

Solution for 0.75x+6=x-2 equation:

Simplifying
0.75x + 6 = x + -2

Reorder the terms:
6 + 0.75x = x + -2

Reorder the terms:
6 + 0.75x = -2 + x

Solving
6 + 0.75x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 0.75x + -1x = -2 + x + -1x

Combine like terms: 0.75x + -1x = -0.25x
6 + -0.25x = -2 + x + -1x

Combine like terms: x + -1x = 0
6 + -0.25x = -2 + 0
6 + -0.25x = -2

Add '-6' to each side of the equation.
6 + -6 + -0.25x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -0.25x = -2 + -6
-0.25x = -2 + -6

Combine like terms: -2 + -6 = -8
-0.25x = -8

Divide each side by '-0.25'.
x = 32

Simplifying
x = 32