4(2f-1)=3(f+2)

Solution for 4(2f-1)=3(f+2) equation:

Simplifying
4(2f + -1) = 3(f + 2)

Reorder the terms:
4(-1 + 2f) = 3(f + 2)
(-1 * 4 + 2f * 4) = 3(f + 2)
(-4 + 8f) = 3(f + 2)

Reorder the terms:
-4 + 8f = 3(2 + f)
-4 + 8f = (2 * 3 + f * 3)
-4 + 8f = (6 + 3f)

Solving
-4 + 8f = 6 + 3f

Solving for variable 'f'.

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

Add '-3f' to each side of the equation.
-4 + 8f + -3f = 6 + 3f + -3f

Combine like terms: 8f + -3f = 5f
-4 + 5f = 6 + 3f + -3f

Combine like terms: 3f + -3f = 0
-4 + 5f = 6 + 0
-4 + 5f = 6

Add '4' to each side of the equation.
-4 + 4 + 5f = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 5f = 6 + 4
5f = 6 + 4

Combine like terms: 6 + 4 = 10
5f = 10

Divide each side by '5'.
f = 2

Simplifying
f = 2