Solve 5(3-4p)/7=7-3p/2

$$\frac { 5 ( 3 - 4 p ) } { 7 } = \frac { 7 - 3 p } { 2 }$$

Solve for p

$$p=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,2.

$$2\times 5\left(3-4p\right)=7\left(7-3p\right)$$

Multiply 2 and 5 to get 10.

$$10\left(3-4p\right)=7\left(7-3p\right)$$

Use the distributive property to multiply 10 by 3-4p.

$$30-40p=7\left(7-3p\right)$$

Use the distributive property to multiply 7 by 7-3p.

$$30-40p=49-21p$$

Add 21p to both sides.

$$30-40p+21p=49$$

Combine -40p and 21p to get -19p.

$$30-19p=49$$

Subtract 30 from both sides.

$$-19p=49-30$$

Subtract 30 from 49 to get 19.

$$-19p=19$$

Divide both sides by -19.

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

Divide 19 by -19 to get -1.

$$p=-1$$