.2(60)+.05x=.1(60+x)

Solution for .2(60)+.05x=.1(60+x) equation:

Simplifying
0.2(60) + 0.05x = 0.1(60 + x)

Multiply 0.2 * 60
12 + 0.05x = 0.1(60 + x)
12 + 0.05x = (60 * 0.1 + x * 0.1)
12 + 0.05x = (6 + 0.1x)

Solving
12 + 0.05x = 6 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
12 + 0.05x + -0.1x = 6 + 0.1x + -0.1x

Combine like terms: 0.05x + -0.1x = -0.05x
12 + -0.05x = 6 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
12 + -0.05x = 6 + 0.0
12 + -0.05x = 6

Add '-12' to each side of the equation.
12 + -12 + -0.05x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -0.05x = 6 + -12
-0.05x = 6 + -12

Combine like terms: 6 + -12 = -6
-0.05x = -6

Divide each side by '-0.05'.
x = 120

Simplifying
x = 120