Solve -2x-7/x+3=1

$$- \frac{ 2x-7 }{ x+3 } = 1$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

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.

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

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

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

Subtract x from both sides.

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

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

$$-3x+7=3$$

Subtract 7 from both sides.

$$-3x=3-7$$

Subtract 7 from 3 to get -4.

$$-3x=-4$$

Divide both sides by -3.

$$x=\frac{-4}{-3}$$

Fraction \frac{-4}{-3} can be simplified to \frac{4}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{3}$$