Solve 3p/2+5p+2/6=2p/3-1

$$\frac { 3 p } { 2 } + \frac { 5 p + 2 } { 6 } = \frac { 2 p } { 3 } - 1$$

Solve for p

$$p=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6,3.

$$3\times 3p+5p+2=2\times 2p-6$$

Multiply 3 and 3 to get 9.

$$9p+5p+2=2\times 2p-6$$

Combine 9p and 5p to get 14p.

$$14p+2=2\times 2p-6$$

Multiply 2 and 2 to get 4.

$$14p+2=4p-6$$

Subtract 4p from both sides.

$$14p+2-4p=-6$$

Combine 14p and -4p to get 10p.

$$10p+2=-6$$

Subtract 2 from both sides.

$$10p=-6-2$$

Subtract 2 from -6 to get -8.

$$10p=-8$$

Divide both sides by 10.

$$p=\frac{-8}{10}$$

Reduce the fraction \frac{-8}{10} to lowest terms by extracting and canceling out 2.

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