0.05(266-x)+0.07x=42

Solution for 0.05(266-x)+0.07x=42 equation:

Simplifying
0.05(266 + -1x) + 0.07x = 42
(266 * 0.05 + -1x * 0.05) + 0.07x = 42
(13.3 + -0.05x) + 0.07x = 42

Combine like terms: -0.05x + 0.07x = 0.02x
13.3 + 0.02x = 42

Solving
13.3 + 0.02x = 42

Solving for variable 'x'.

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

Add '-13.3' to each side of the equation.
13.3 + -13.3 + 0.02x = 42 + -13.3

Combine like terms: 13.3 + -13.3 = 0.0
0.0 + 0.02x = 42 + -13.3
0.02x = 42 + -13.3

Combine like terms: 42 + -13.3 = 28.7
0.02x = 28.7

Divide each side by '0.02'.
x = 1435

Simplifying
x = 1435