0.3(x+50)-0.02(x-30)=29.6

Solution for 0.3(x+50)-0.02(x-30)=29.6 equation:

Simplifying
0.3(x + 50) + -0.02(x + -30) = 29.6

Reorder the terms:
0.3(50 + x) + -0.02(x + -30) = 29.6
(50 * 0.3 + x * 0.3) + -0.02(x + -30) = 29.6
(15 + 0.3x) + -0.02(x + -30) = 29.6

Reorder the terms:
15 + 0.3x + -0.02(-30 + x) = 29.6
15 + 0.3x + (-30 * -0.02 + x * -0.02) = 29.6
15 + 0.3x + (0.6 + -0.02x) = 29.6

Reorder the terms:
15 + 0.6 + 0.3x + -0.02x = 29.6

Combine like terms: 15 + 0.6 = 15.6
15.6 + 0.3x + -0.02x = 29.6

Combine like terms: 0.3x + -0.02x = 0.28x
15.6 + 0.28x = 29.6

Solving
15.6 + 0.28x = 29.6

Solving for variable 'x'.

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

Add '-15.6' to each side of the equation.
15.6 + -15.6 + 0.28x = 29.6 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + 0.28x = 29.6 + -15.6
0.28x = 29.6 + -15.6

Combine like terms: 29.6 + -15.6 = 14
0.28x = 14

Divide each side by '0.28'.
x = 50

Simplifying
x = 50