Solve t/x-3=2

$$\frac { t } { x - 3 } = 2$$

Solve for t

$$t=2\left(x-3\right)$$

$$x\neq 3$$

Solution Steps

Multiply both sides of the equation by x-3.

$$t=2\left(x-3\right)$$

Use the distributive property to multiply 2 by x-3.

$$t=2x-6$$

Solve for x

$$x=\frac{t+6}{2}$$

$$t\neq 0$$

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.

$$t=2\left(x-3\right)$$

Use the distributive property to multiply 2 by x-3.

$$t=2x-6$$

Swap sides so that all variable terms are on the left hand side.

$$2x-6=t$$

Add 6 to both sides.

$$2x=t+6$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{t+6}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{t+6}{2}$$

Divide t+6 by 2.

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

Variable x cannot be equal to 3.

$$x=\frac{t}{2}+3\text{, }x\neq 3$$