0.2(c-4)+1=0.15(c+21)

Solution for 0.2(c-4)+1=0.15(c+21) equation:

Simplifying
0.2(c + -4) + 1 = 0.15(c + 21)

Reorder the terms:
0.2(-4 + c) + 1 = 0.15(c + 21)
(-4 * 0.2 + c * 0.2) + 1 = 0.15(c + 21)
(-0.8 + 0.2c) + 1 = 0.15(c + 21)

Reorder the terms:
-0.8 + 1 + 0.2c = 0.15(c + 21)

Combine like terms: -0.8 + 1 = 0.2
0.2 + 0.2c = 0.15(c + 21)

Reorder the terms:
0.2 + 0.2c = 0.15(21 + c)
0.2 + 0.2c = (21 * 0.15 + c * 0.15)
0.2 + 0.2c = (3.15 + 0.15c)

Solving
0.2 + 0.2c = 3.15 + 0.15c

Solving for variable 'c'.

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

Add '-0.15c' to each side of the equation.
0.2 + 0.2c + -0.15c = 3.15 + 0.15c + -0.15c

Combine like terms: 0.2c + -0.15c = 0.05c
0.2 + 0.05c = 3.15 + 0.15c + -0.15c

Combine like terms: 0.15c + -0.15c = 0.00
0.2 + 0.05c = 3.15 + 0.00
0.2 + 0.05c = 3.15

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.05c = 3.15 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.05c = 3.15 + -0.2
0.05c = 3.15 + -0.2

Combine like terms: 3.15 + -0.2 = 2.95
0.05c = 2.95

Divide each side by '0.05'.
c = 59

Simplifying
c = 59