7f-2=3f+12

Subtract 3f from both sides of the equation.

7f-2-3f=12

Subtract 3f from 7f.

4f-2=12

4f-2=12

Add 2 to both sides of the equation.

4f=12+2

Add 12 and 2.

4f=14

4f=14

Divide each term in 4f=14 by 4.

4f4=144

Cancel the common factor of 4.

Cancel the common factor.

4f4=144

Divide f by 1.

f=144

f=144

Cancel the common factor of 14 and 4.

Factor 2 out of 14.

f=2(7)4

Cancel the common factors.

Factor 2 out of 4.

f=2⋅72⋅2

Cancel the common factor.

f=2⋅72⋅2

Rewrite the expression.

f=72

f=72

f=72

f=72

The result can be shown in multiple forms.

Exact Form:

f=72

Decimal Form:

f=3.5

Mixed Number Form:

f=312

Solve for f 7f-2=3f+12