Solve 3p-7/10+5/12=17p+2/30

$$\frac { 3 p - 7 } { 10 } + \frac { 5 } { 12 } = \frac { 17 p + 2 } { 30 }$$

Solve for p

$$p = -\frac{21}{16} = -1\frac{5}{16} = -1.3125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 10,12,30.

$$6\left(3p-7\right)+25=2\left(17p+2\right)$$

Use the distributive property to multiply 6 by 3p-7.

$$18p-42+25=2\left(17p+2\right)$$

Add -42 and 25 to get -17.

$$18p-17=2\left(17p+2\right)$$

Use the distributive property to multiply 2 by 17p+2.

$$18p-17=34p+4$$

Subtract 34p from both sides.

$$18p-17-34p=4$$

Combine 18p and -34p to get -16p.

$$-16p-17=4$$

Add 17 to both sides.

$$-16p=4+17$$

Add 4 and 17 to get 21.

$$-16p=21$$

Divide both sides by -16.

$$p=\frac{21}{-16}$$

Fraction \frac{21}{-16} can be rewritten as -\frac{21}{16} by extracting the negative sign.

$$p=-\frac{21}{16}$$