0.1(x+60)-0.02(x-10)=10.2

Solution for 0.1(x+60)-0.02(x-10)=10.2 equation:

Simplifying
0.1(x + 60) + -0.02(x + -10) = 10.2

Reorder the terms:
0.1(60 + x) + -0.02(x + -10) = 10.2
(60 * 0.1 + x * 0.1) + -0.02(x + -10) = 10.2
(6 + 0.1x) + -0.02(x + -10) = 10.2

Reorder the terms:
6 + 0.1x + -0.02(-10 + x) = 10.2
6 + 0.1x + (-10 * -0.02 + x * -0.02) = 10.2
6 + 0.1x + (0.2 + -0.02x) = 10.2

Reorder the terms:
6 + 0.2 + 0.1x + -0.02x = 10.2

Combine like terms: 6 + 0.2 = 6.2
6.2 + 0.1x + -0.02x = 10.2

Combine like terms: 0.1x + -0.02x = 0.08x
6.2 + 0.08x = 10.2

Solving
6.2 + 0.08x = 10.2

Solving for variable 'x'.

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

Add '-6.2' to each side of the equation.
6.2 + -6.2 + 0.08x = 10.2 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 0.08x = 10.2 + -6.2
0.08x = 10.2 + -6.2

Combine like terms: 10.2 + -6.2 = 4
0.08x = 4

Divide each side by '0.08'.
x = 50

Simplifying
x = 50