.3(2f+8)-1.8=.4(f-8)

Solution for .3(2f+8)-1.8=.4(f-8) equation:

Simplifying
0.3(2f + 8) + -1.8 = 0.4(f + -8)

Reorder the terms:
0.3(8 + 2f) + -1.8 = 0.4(f + -8)
(8 * 0.3 + 2f * 0.3) + -1.8 = 0.4(f + -8)
(2.4 + 0.6f) + -1.8 = 0.4(f + -8)

Reorder the terms:
2.4 + -1.8 + 0.6f = 0.4(f + -8)

Combine like terms: 2.4 + -1.8 = 0.6
0.6 + 0.6f = 0.4(f + -8)

Reorder the terms:
0.6 + 0.6f = 0.4(-8 + f)
0.6 + 0.6f = (-8 * 0.4 + f * 0.4)
0.6 + 0.6f = (-3.2 + 0.4f)

Solving
0.6 + 0.6f = -3.2 + 0.4f

Solving for variable 'f'.

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

Add '-0.4f' to each side of the equation.
0.6 + 0.6f + -0.4f = -3.2 + 0.4f + -0.4f

Combine like terms: 0.6f + -0.4f = 0.2f
0.6 + 0.2f = -3.2 + 0.4f + -0.4f

Combine like terms: 0.4f + -0.4f = 0.0
0.6 + 0.2f = -3.2 + 0.0
0.6 + 0.2f = -3.2

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.2f = -3.2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.2f = -3.2 + -0.6
0.2f = -3.2 + -0.6

Combine like terms: -3.2 + -0.6 = -3.8
0.2f = -3.8

Divide each side by '0.2'.
f = -19

Simplifying
f = -19