0.05(x+30)-0.06(x-10)=1.5

Solution for 0.05(x+30)-0.06(x-10)=1.5 equation:

Simplifying
0.05(x + 30) + -0.06(x + -10) = 1.5

Reorder the terms:
0.05(30 + x) + -0.06(x + -10) = 1.5
(30 * 0.05 + x * 0.05) + -0.06(x + -10) = 1.5
(1.5 + 0.05x) + -0.06(x + -10) = 1.5

Reorder the terms:
1.5 + 0.05x + -0.06(-10 + x) = 1.5
1.5 + 0.05x + (-10 * -0.06 + x * -0.06) = 1.5
1.5 + 0.05x + (0.6 + -0.06x) = 1.5

Reorder the terms:
1.5 + 0.6 + 0.05x + -0.06x = 1.5

Combine like terms: 1.5 + 0.6 = 2.1
2.1 + 0.05x + -0.06x = 1.5

Combine like terms: 0.05x + -0.06x = -0.01x
2.1 + -0.01x = 1.5

Solving
2.1 + -0.01x = 1.5

Solving for variable 'x'.

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

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -0.01x = 1.5 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -0.01x = 1.5 + -2.1
-0.01x = 1.5 + -2.1

Combine like terms: 1.5 + -2.1 = -0.6
-0.01x = -0.6

Divide each side by '-0.01'.
x = 60

Simplifying
x = 60