Solve x+2/x+3=51

$$\frac { x + 2 } { x + 3 } = 51$$

Solve for x

$$x = -\frac{151}{50} = -3\frac{1}{50} = -3.02$$

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.

$$x+2=51\left(x+3\right)$$

Use the distributive property to multiply 51 by x+3.

$$x+2=51x+153$$

Subtract 51x from both sides.

$$x+2-51x=153$$

Combine x and -51x to get -50x.

$$-50x+2=153$$

Subtract 2 from both sides.

$$-50x=153-2$$

Subtract 2 from 153 to get 151.

$$-50x=151$$

Divide both sides by -50.

$$x=\frac{151}{-50}$$

Fraction \frac{151}{-50} can be rewritten as -\frac{151}{50} by extracting the negative sign.

$$x=-\frac{151}{50}$$