0.15(40)+0.40x=0.20(16+x)

Solution for 0.15(40)+0.40x=0.20(16+x) equation:

Simplifying
0.15(40) + 0.40x = 0.20(16 + x)

Multiply 0.15 * 40
6 + 0.40x = 0.20(16 + x)
6 + 0.40x = (16 * 0.20 + x * 0.20)
6 + 0.40x = (3.2 + 0.20x)

Solving
6 + 0.40x = 3.2 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
6 + 0.40x + -0.20x = 3.2 + 0.20x + -0.20x

Combine like terms: 0.40x + -0.20x = 0.2x
6 + 0.2x = 3.2 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
6 + 0.2x = 3.2 + 0.00
6 + 0.2x = 3.2

Add '-6' to each side of the equation.
6 + -6 + 0.2x = 3.2 + -6

Combine like terms: 6 + -6 = 0
0 + 0.2x = 3.2 + -6
0.2x = 3.2 + -6

Combine like terms: 3.2 + -6 = -2.8
0.2x = -2.8

Divide each side by '0.2'.
x = -14

Simplifying
x = -14