Algebra Examples

$\frac{13 + x_{2}}{2} = 17$

Step 1

Multiply both sides by $2$ .

$\frac{13 + x_{2}}{2} \cdot 2 = 17 \cdot 2$

Step 2

Simplify.

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Simplify the left side.

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Simplify $\frac{13 + x_{2}}{2} \cdot 2$ .

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Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{13 + x_{2}}{2} \cdot 2 = 17 \cdot 2$

Rewrite the expression.

$13 + x_{2} = 17 \cdot 2$

Reorder $13$ and $x_{2}$ .

$x_{2} + 13 = 17 \cdot 2$

Simplify the right side.

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Multiply $17$ by $2$ .

$x_{2} + 13 = 34$

Step 3

Move all terms not containing $x_{2}$ to the right side of the equation.

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Subtract $13$ from both sides of the equation.

$x_{2} = 34 - 13$

Subtract $13$ from $34$ .

$x_{2} = 21$