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

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

Solve for x

$$x = -\frac{8}{7} = -1\frac{1}{7} \approx -1.142857143$$

Steps for Solving Linear Equation

Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by x+3.

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

To find the opposite of 2x-7, find the opposite of each term.

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

Use the distributive property to multiply 5 by x+3.

$$-2x+7=5x+15$$

Subtract 5x from both sides.

$$-2x+7-5x=15$$

Combine -2x and -5x to get -7x.

$$-7x+7=15$$

Subtract 7 from both sides.

$$-7x=15-7$$

Subtract 7 from 15 to get 8.

$$-7x=8$$

Divide both sides by -7.

$$x=\frac{8}{-7}$$

Fraction \frac{8}{-7} can be rewritten as -\frac{8}{7} by extracting the negative sign.

$$x=-\frac{8}{7}$$