6=.78(6+x)

Solution for 6=.78(6+x) equation:

Simplifying
6 = 0.78(6 + x)
6 = (6 * 0.78 + x * 0.78)
6 = (4.68 + 0.78x)

Solving
6 = 4.68 + 0.78x

Solving for variable 'x'.

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

Add '-0.78x' to each side of the equation.
6 + -0.78x = 4.68 + 0.78x + -0.78x

Combine like terms: 0.78x + -0.78x = 0.00
6 + -0.78x = 4.68 + 0.00
6 + -0.78x = 4.68

Add '-6' to each side of the equation.
6 + -6 + -0.78x = 4.68 + -6

Combine like terms: 6 + -6 = 0
0 + -0.78x = 4.68 + -6
-0.78x = 4.68 + -6

Combine like terms: 4.68 + -6 = -1.32
-0.78x = -1.32

Divide each side by '-0.78'.
x = 1.692307692

Simplifying
x = 1.692307692