60(x+.10)=75x

Solution for 60(x+.10)=75x equation:

Simplifying
60(x + 0.10) = 75x

Reorder the terms:
60(0.10 + x) = 75x
(0.10 * 60 + x * 60) = 75x
(6 + 60x) = 75x

Solving
6 + 60x = 75x

Solving for variable 'x'.

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

Add '-75x' to each side of the equation.
6 + 60x + -75x = 75x + -75x

Combine like terms: 60x + -75x = -15x
6 + -15x = 75x + -75x

Combine like terms: 75x + -75x = 0
6 + -15x = 0

Add '-6' to each side of the equation.
6 + -6 + -15x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = 0 + -6
-15x = 0 + -6

Combine like terms: 0 + -6 = -6
-15x = -6

Divide each side by '-15'.
x = 0.4

Simplifying
x = 0.4