Solve 3x-1/x+2=7

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

Solve for x

$$x = -\frac{15}{4} = -3\frac{3}{4} = -3.75$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$3x-1=7\left(x+2\right)$$

Use the distributive property to multiply 7 by x+2.

$$3x-1=7x+14$$

Subtract 7x from both sides.

$$3x-1-7x=14$$

Combine 3x and -7x to get -4x.

$$-4x-1=14$$

Add 1 to both sides.

$$-4x=14+1$$

Add 14 and 1 to get 15.

$$-4x=15$$

Divide both sides by -4.

$$x=\frac{15}{-4}$$

Fraction \frac{15}{-4} can be rewritten as -\frac{15}{4} by extracting the negative sign.

$$x=-\frac{15}{4}$$