Algebra Examples

$3 x - 2 y = 6$

Step 1

Add $2 y$ to both sides of the equation.

$3 x = 6 + 2 y$

Step 2

Divide each term in $3 x = 6 + 2 y$ by $3$ and simplify.

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Step 2.1

Divide each term in $3 x = 6 + 2 y$ by $3$ .

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Divide $x$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $6$ by $3$ .

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