Solve 4+2p=16(3/5p-2)

$$4 + 2 p = 16 ( \frac { 3 } { 5 } p - 2 )$$

Solve for p

$$p = \frac{90}{19} = 4\frac{14}{19} \approx 4.736842105$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16 by \frac{3}{5}p-2.

$$4+2p=16\times \frac{3}{5}p-32$$

Express 16\times \frac{3}{5} as a single fraction.

$$4+2p=\frac{16\times 3}{5}p-32$$

Multiply 16 and 3 to get 48.

$$4+2p=\frac{48}{5}p-32$$

Subtract \frac{48}{5}p from both sides.

$$4+2p-\frac{48}{5}p=-32$$

Combine 2p and -\frac{48}{5}p to get -\frac{38}{5}p.

$$4-\frac{38}{5}p=-32$$

Subtract 4 from both sides.

$$-\frac{38}{5}p=-32-4$$

Subtract 4 from -32 to get -36.

$$-\frac{38}{5}p=-36$$

Multiply both sides by -\frac{5}{38}, the reciprocal of -\frac{38}{5}.

$$p=-36\left(-\frac{5}{38}\right)$$

Express -36\left(-\frac{5}{38}\right) as a single fraction.

$$p=\frac{-36\left(-5\right)}{38}$$

Multiply -36 and -5 to get 180.

$$p=\frac{180}{38}$$

Reduce the fraction \frac{180}{38} to lowest terms by extracting and canceling out 2.

$$p=\frac{90}{19}$$