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

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

Solve for x

$$x=-\frac{2}{5}=-0.4$$

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.

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

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

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

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

$$-2x+7=3x+9$$

Subtract 3x from both sides.

$$-2x+7-3x=9$$

Combine -2x and -3x to get -5x.

$$-5x+7=9$$

Subtract 7 from both sides.

$$-5x=9-7$$

Subtract 7 from 9 to get 2.

$$-5x=2$$

Divide both sides by -5.

$$x=\frac{2}{-5}$$

Fraction \frac{2}{-5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$x=-\frac{2}{5}$$