6(1.075x+1)=10

Solution for 6(1.075x+1)=10 equation:

Simplifying
6(1.075x + 1) = 10

Reorder the terms:
6(1 + 1.075x) = 10
(1 * 6 + 1.075x * 6) = 10
(6 + 6.45x) = 10

Solving
6 + 6.45x = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6.45x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 6.45x = 10 + -6
6.45x = 10 + -6

Combine like terms: 10 + -6 = 4
6.45x = 4

Divide each side by '6.45'.
x = 0.6201550388

Simplifying
x = 0.6201550388