Solve 1e5p+7=3(4-p)

$$1 e 5 p + 7 = 3 ( 4 - p )$$

Solve for p

$$p=\frac{5}{5e+3}\approx 0.30136078$$

Steps for Solving Linear Equation

Multiply 1 and 5 to get 5.

$$5ep+7=3\left(4-p\right)$$

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

$$5ep+7=12-3p$$

Add 3p to both sides.

$$5ep+7+3p=12$$

Subtract 7 from both sides.

$$5ep+3p=12-7$$

Subtract 7 from 12 to get 5.

$$5ep+3p=5$$

Combine all terms containing p.

$$\left(5e+3\right)p=5$$

Divide both sides by 5e+3.

$$\frac{\left(5e+3\right)p}{5e+3}=\frac{5}{5e+3}$$

Dividing by 5e+3 undoes the multiplication by 5e+3.

$$p=\frac{5}{5e+3}$$