0.1(x+60)-0.05(x-10)=3.5

Solution for 0.1(x+60)-0.05(x-10)=3.5 equation:

Simplifying
0.1(x + 60) + -0.05(x + -10) = 3.5

Reorder the terms:
0.1(60 + x) + -0.05(x + -10) = 3.5
(60 * 0.1 + x * 0.1) + -0.05(x + -10) = 3.5
(6 + 0.1x) + -0.05(x + -10) = 3.5

Reorder the terms:
6 + 0.1x + -0.05(-10 + x) = 3.5
6 + 0.1x + (-10 * -0.05 + x * -0.05) = 3.5
6 + 0.1x + (0.5 + -0.05x) = 3.5

Reorder the terms:
6 + 0.5 + 0.1x + -0.05x = 3.5

Combine like terms: 6 + 0.5 = 6.5
6.5 + 0.1x + -0.05x = 3.5

Combine like terms: 0.1x + -0.05x = 0.05x
6.5 + 0.05x = 3.5

Solving
6.5 + 0.05x = 3.5

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 0.05x = 3.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 0.05x = 3.5 + -6.5
0.05x = 3.5 + -6.5

Combine like terms: 3.5 + -6.5 = -3
0.05x = -3

Divide each side by '0.05'.
x = -60

Simplifying
x = -60