Solve 7/2q+5=-3+2/q

$$\frac { 7 } { 2 q } + 5 = - 3 + \frac { 2 } { q }$$

Solve for q

$$q=-\frac{3}{16}=-0.1875$$

Steps for Solving Linear Equation

Variable q cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2q, the least common multiple of 2q,q.

$$7+2q\times 5=2q\left(-3\right)+2\times 2$$

Multiply 2 and 5 to get 10.

$$7+10q=2q\left(-3\right)+2\times 2$$

Multiply 2 and -3 to get -6.

$$7+10q=-6q+2\times 2$$

Multiply 2 and 2 to get 4.

$$7+10q=-6q+4$$

Add 6q to both sides.

$$7+10q+6q=4$$

Combine 10q and 6q to get 16q.

$$7+16q=4$$

Subtract 7 from both sides.

$$16q=4-7$$

Subtract 7 from 4 to get -3.

$$16q=-3$$

Divide both sides by 16.

$$q=\frac{-3}{16}$$

Fraction \frac{-3}{16} can be rewritten as -\frac{3}{16} by extracting the negative sign.

$$q=-\frac{3}{16}$$