0.05x+0.03(1500-x)=42

Solution for 0.05x+0.03(1500-x)=42 equation:

Simplifying
0.05x + 0.03(1500 + -1x) = 42
0.05x + (1500 * 0.03 + -1x * 0.03) = 42
0.05x + (45 + -0.03x) = 42

Reorder the terms:
45 + 0.05x + -0.03x = 42

Combine like terms: 0.05x + -0.03x = 0.02x
45 + 0.02x = 42

Solving
45 + 0.02x = 42

Solving for variable 'x'.

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

Add '-45' to each side of the equation.
45 + -45 + 0.02x = 42 + -45

Combine like terms: 45 + -45 = 0
0 + 0.02x = 42 + -45
0.02x = 42 + -45

Combine like terms: 42 + -45 = -3
0.02x = -3

Divide each side by '0.02'.
x = -150

Simplifying
x = -150