Pre-Algebra Examples

$2 x + 3 y - z = 9$

Step 1

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

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Step 1.1

Subtract $3 y$ from both sides of the equation.

$2 x - z = 9 - 3 y$

Step 1.2

Add $z$ to both sides of the equation.

$2 x = 9 - 3 y + z$

Step 2

Divide each term in $2 x = 9 - 3 y + z$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 x = 9 - 3 y + z$ by $2$ .

$\frac{2 x}{2} = \frac{9}{2} + \frac{- 3 y}{2} + \frac{z}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{9}{2} + \frac{- 3 y}{2} + \frac{z}{2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{9}{2} + \frac{- 3 y}{2} + \frac{z}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$x = \frac{9}{2} - \frac{3 y}{2} + \frac{z}{2}$