0.04(2c-26)=0.8(c-2)

Solution for 0.04(2c-26)=0.8(c-2) equation:

Simplifying
0.04(2c + -26) = 0.8(c + -2)

Reorder the terms:
0.04(-26 + 2c) = 0.8(c + -2)
(-26 * 0.04 + 2c * 0.04) = 0.8(c + -2)
(-1.04 + 0.08c) = 0.8(c + -2)

Reorder the terms:
-1.04 + 0.08c = 0.8(-2 + c)
-1.04 + 0.08c = (-2 * 0.8 + c * 0.8)
-1.04 + 0.08c = (-1.6 + 0.8c)

Solving
-1.04 + 0.08c = -1.6 + 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.
-1.04 + 0.08c + -0.8c = -1.6 + 0.8c + -0.8c

Combine like terms: 0.08c + -0.8c = -0.72c
-1.04 + -0.72c = -1.6 + 0.8c + -0.8c

Combine like terms: 0.8c + -0.8c = 0.0
-1.04 + -0.72c = -1.6 + 0.0
-1.04 + -0.72c = -1.6

Add '1.04' to each side of the equation.
-1.04 + 1.04 + -0.72c = -1.6 + 1.04

Combine like terms: -1.04 + 1.04 = 0.00
0.00 + -0.72c = -1.6 + 1.04
-0.72c = -1.6 + 1.04

Combine like terms: -1.6 + 1.04 = -0.56
-0.72c = -0.56

Divide each side by '-0.72'.
c = 0.7777777778

Simplifying
c = 0.7777777778