Pre-Algebra Examples

$3 x - 2 y + 6 = 0$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

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

$3 x + 6 = 2 y$

Step 1.2

Subtract $6$ from both sides of the equation.

$3 x = 2 y - 6$

Step 2

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

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Step 2.1

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

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

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.

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

Step 2.2.1.2

Divide $x$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 6$ by $3$ .

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