0.15(40)+0.05c=0.25(40+c)

Solution for 0.15(40)+0.05c=0.25(40+c) equation:

Simplifying
0.15(40) + 0.05c = 0.25(40 + c)

Multiply 0.15 * 40
6 + 0.05c = 0.25(40 + c)
6 + 0.05c = (40 * 0.25 + c * 0.25)
6 + 0.05c = (10 + 0.25c)

Solving
6 + 0.05c = 10 + 0.25c

Solving for variable 'c'.

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

Add '-0.25c' to each side of the equation.
6 + 0.05c + -0.25c = 10 + 0.25c + -0.25c

Combine like terms: 0.05c + -0.25c = -0.2c
6 + -0.2c = 10 + 0.25c + -0.25c

Combine like terms: 0.25c + -0.25c = 0.00
6 + -0.2c = 10 + 0.00
6 + -0.2c = 10

Add '-6' to each side of the equation.
6 + -6 + -0.2c = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -0.2c = 10 + -6
-0.2c = 10 + -6

Combine like terms: 10 + -6 = 4
-0.2c = 4

Divide each side by '-0.2'.
c = -20

Simplifying
c = -20