6(x-7.1)=7.8

Solution for 6(x-7.1)=7.8 equation:

Simplifying
6(x + -7.1) = 7.8

Reorder the terms:
6(-7.1 + x) = 7.8
(-7.1 * 6 + x * 6) = 7.8
(-42.6 + 6x) = 7.8

Solving
-42.6 + 6x = 7.8

Solving for variable 'x'.

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

Add '42.6' to each side of the equation.
-42.6 + 42.6 + 6x = 7.8 + 42.6

Combine like terms: -42.6 + 42.6 = 0.0
0.0 + 6x = 7.8 + 42.6
6x = 7.8 + 42.6

Combine like terms: 7.8 + 42.6 = 50.4
6x = 50.4

Divide each side by '6'.
x = 8.4

Simplifying
x = 8.4