Solve 7=-5/v+5

$$7 = - \frac { 5 } { v + 5 }$$

Solve for v

$$v = -\frac{40}{7} = -5\frac{5}{7} \approx -5.714285714$$

Steps for Solving Linear Equation

Variable v cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by v+5.

$$7\left(v+5\right)=-5$$

Use the distributive property to multiply 7 by v+5.

$$7v+35=-5$$

Subtract 35 from both sides.

$$7v=-5-35$$

Subtract 35 from -5 to get -40.

$$7v=-40$$

Divide both sides by 7.

$$v=\frac{-40}{7}$$

Fraction \frac{-40}{7} can be rewritten as -\frac{40}{7} by extracting the negative sign.

$$v=-\frac{40}{7}$$