Solve 2(p+4)=7p+2

$$2 ( p + 4 ) = 7 p + 2$$

Solve for p

$$p = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by p+4.

$$2p+8=7p+2$$

Subtract 7p from both sides.

$$2p+8-7p=2$$

Combine 2p and -7p to get -5p.

$$-5p+8=2$$

Subtract 8 from both sides.

$$-5p=2-8$$

Subtract 8 from 2 to get -6.

$$-5p=-6$$

Divide both sides by -5.

$$p=\frac{-6}{-5}$$

Fraction \frac{-6}{-5} can be simplified to \frac{6}{5} by removing the negative sign from both the numerator and the denominator.

$$p=\frac{6}{5}$$