6-0.4(c-13)=0.8(c-13)

Solution for 6-0.4(c-13)=0.8(c-13) equation:

Simplifying
6 + -0.4(c + -13) = 0.8(c + -13)

Reorder the terms:
6 + -0.4(-13 + c) = 0.8(c + -13)
6 + (-13 * -0.4 + c * -0.4) = 0.8(c + -13)
6 + (5.2 + -0.4c) = 0.8(c + -13)

Combine like terms: 6 + 5.2 = 11.2
11.2 + -0.4c = 0.8(c + -13)

Reorder the terms:
11.2 + -0.4c = 0.8(-13 + c)
11.2 + -0.4c = (-13 * 0.8 + c * 0.8)
11.2 + -0.4c = (-10.4 + 0.8c)

Solving
11.2 + -0.4c = -10.4 + 0.8c

Solving for variable 'c'.

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

Add '-0.8c' to each side of the equation.
11.2 + -0.4c + -0.8c = -10.4 + 0.8c + -0.8c

Combine like terms: -0.4c + -0.8c = -1.2c
11.2 + -1.2c = -10.4 + 0.8c + -0.8c

Combine like terms: 0.8c + -0.8c = 0.0
11.2 + -1.2c = -10.4 + 0.0
11.2 + -1.2c = -10.4

Add '-11.2' to each side of the equation.
11.2 + -11.2 + -1.2c = -10.4 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + -1.2c = -10.4 + -11.2
-1.2c = -10.4 + -11.2

Combine like terms: -10.4 + -11.2 = -21.6
-1.2c = -21.6

Divide each side by '-1.2'.
c = 18

Simplifying
c = 18