.45x=6+x+.78

Solution for .45x=6+x+.78 equation:

Simplifying
0.45x = 6 + x + 0.78

Reorder the terms:
0.45x = 6 + 0.78 + x

Combine like terms: 6 + 0.78 = 6.78
0.45x = 6.78 + x

Solving
0.45x = 6.78 + 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.
0.45x + -1x = 6.78 + x + -1x

Combine like terms: 0.45x + -1x = -0.55x
-0.55x = 6.78 + x + -1x

Combine like terms: x + -1x = 0
-0.55x = 6.78 + 0
-0.55x = 6.78

Divide each side by '-0.55'.
x = -12.32727273

Simplifying
x = -12.32727273