.1(x+60)+.3x=10

Solution for .1(x+60)+.3x=10 equation:

Simplifying
0.1(x + 60) + 0.3x = 10

Reorder the terms:
0.1(60 + x) + 0.3x = 10
(60 * 0.1 + x * 0.1) + 0.3x = 10
(6 + 0.1x) + 0.3x = 10

Combine like terms: 0.1x + 0.3x = 0.4x
6 + 0.4x = 10

Solving
6 + 0.4x = 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 + 0.4x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 0.4x = 10 + -6
0.4x = 10 + -6

Combine like terms: 10 + -6 = 4
0.4x = 4

Divide each side by '0.4'.
x = 10

Simplifying
x = 10