.2(c-4)+1=.15(c+2)

Solution for .2(c-4)+1=.15(c+2) equation:

Simplifying
0.2(c + -4) + 1 = 0.15(c + 2)

Reorder the terms:
0.2(-4 + c) + 1 = 0.15(c + 2)
(-4 * 0.2 + c * 0.2) + 1 = 0.15(c + 2)
(-0.8 + 0.2c) + 1 = 0.15(c + 2)

Reorder the terms:
-0.8 + 1 + 0.2c = 0.15(c + 2)

Combine like terms: -0.8 + 1 = 0.2
0.2 + 0.2c = 0.15(c + 2)

Reorder the terms:
0.2 + 0.2c = 0.15(2 + c)
0.2 + 0.2c = (2 * 0.15 + c * 0.15)
0.2 + 0.2c = (0.3 + 0.15c)

Solving
0.2 + 0.2c = 0.3 + 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 = 0.3 + 0.15c + -0.15c

Combine like terms: 0.2c + -0.15c = 0.05c
0.2 + 0.05c = 0.3 + 0.15c + -0.15c

Combine like terms: 0.15c + -0.15c = 0.00
0.2 + 0.05c = 0.3 + 0.00
0.2 + 0.05c = 0.3

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.05c = 0.3 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.05c = 0.3 + -0.2
0.05c = 0.3 + -0.2

Combine like terms: 0.3 + -0.2 = 0.1
0.05c = 0.1

Divide each side by '0.05'.
c = 2

Simplifying
c = 2