Solve 5.4(2-p)=-1.4(p+2)

$$5.4 ( 2 - p ) = - 1.4 ( p + 2 )$$

Solve for p

$$p=3.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5.4 by 2-p.

$$10.8-5.4p=-1.4\left(p+2\right)$$

Use the distributive property to multiply -1.4 by p+2.

$$10.8-5.4p=-1.4p-2.8$$

Add 1.4p to both sides.

$$10.8-5.4p+1.4p=-2.8$$

Combine -5.4p and 1.4p to get -4p.

$$10.8-4p=-2.8$$

Subtract 10.8 from both sides.

$$-4p=-2.8-10.8$$

Subtract 10.8 from -2.8 to get -13.6.

$$-4p=-13.6$$

Divide both sides by -4.

$$p=\frac{-13.6}{-4}$$

Expand \frac{-13.6}{-4} by multiplying both numerator and the denominator by 10.

$$p=\frac{-136}{-40}$$

Reduce the fraction \frac{-136}{-40} to lowest terms by extracting and canceling out -8.

$$p=\frac{17}{5}$$