Solve 14.4=12+frac{10-4-f_{1}}{5}*6

$$14.4 = 12 + \frac { 10 - 4 - f _ { 1 } } { 5 } \times 6$$

Solve for f_1

$$f_{1}=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$72=60+\left(10-4-f_{1}\right)\times 6$$

Subtract 4 from 10 to get 6.

$$72=60+\left(6-f_{1}\right)\times 6$$

Use the distributive property to multiply 6-f_{1} by 6.

$$72=60+36-6f_{1}$$

Add 60 and 36 to get 96.

$$72=96-6f_{1}$$

Swap sides so that all variable terms are on the left hand side.

$$96-6f_{1}=72$$

Subtract 96 from both sides.

$$-6f_{1}=72-96$$

Subtract 96 from 72 to get -24.

$$-6f_{1}=-24$$

Divide both sides by -6.

$$f_{1}=\frac{-24}{-6}$$

Divide -24 by -6 to get 4.

$$f_{1}=4$$