Solve 3p-2/7-p-2/4=2

$$\frac { 3 p - 2 } { 7 } - \frac { p - 2 } { 4 } = 2$$

Solve for p

$$p=10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28, the least common multiple of 7,4.

$$4\left(3p-2\right)-7\left(p-2\right)=56$$

Use the distributive property to multiply 4 by 3p-2.

$$12p-8-7\left(p-2\right)=56$$

Use the distributive property to multiply -7 by p-2.

$$12p-8-7p+14=56$$

Combine 12p and -7p to get 5p.

$$5p-8+14=56$$

Add -8 and 14 to get 6.

$$5p+6=56$$

Subtract 6 from both sides.

$$5p=56-6$$

Subtract 6 from 56 to get 50.

$$5p=50$$

Divide both sides by 5.

$$p=\frac{50}{5}$$

Divide 50 by 5 to get 10.

$$p=10$$