Algebra Examples

$y = \frac{3 x - 6}{2}$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $2$ .

$2 y = 2 \frac{3 x - 6}{2}$

Step 3

Simplify the right side.

Tap for more steps...

Step 3.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1.1

Cancel the common factor.

$2 y = 2 \frac{3 x - 6}{2}$

Step 3.1.2

Rewrite the expression.

$2 y = 3 x - 6$

Step 4

Rewrite the equation.

$3 x - 6 = 2 y$

Step 5

Move all terms containing variables to the left side of the equation.

Tap for more steps...

Step 5.1

Subtract $2 y$ from both sides of the equation.

$3 x - 6 - 2 y = 0$

Step 5.2

Move $- 6$ .

$3 x - 2 y - 6 = 0$

Step 6

Add $6$ to both sides of the equation.

$3 x - 2 y = 6$

Step 7