Solve 2(p-1)-3(p-4)=4p

$$2 ( p - 1 ) - 3 ( p - 4 ) = 4 p$$

Solve for p

$$p=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by p-1.

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

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

$$2p-2-3p+12=4p$$

Combine 2p and -3p to get -p.

$$-p-2+12=4p$$

Add -2 and 12 to get 10.

$$-p+10=4p$$

Subtract 4p from both sides.

$$-p+10-4p=0$$

Combine -p and -4p to get -5p.

$$-5p+10=0$$

Subtract 10 from both sides. Anything subtracted from zero gives its negation.

$$-5p=-10$$

Divide both sides by -5.

$$p=\frac{-10}{-5}$$

Divide -10 by -5 to get 2.

$$p=2$$