Algebra Examples

$\frac{12 + 2 x}{2} = 13$

Step 1

Cancel the common factor of $12 + 2 x$ and $2$ .

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Step 1.1

Factor $2$ out of $12$ .

$\frac{2 \cdot 6 + 2 x}{2} = 13$

Step 1.2

Factor $2$ out of $2 x$ .

$\frac{2 \cdot 6 + 2 (x)}{2} = 13$

Step 1.3

Factor $2$ out of $2 (6) + 2 (x)$ .

$\frac{2 (6 + x)}{2} = 13$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $2$ .

$\frac{2 (6 + x)}{2 (1)} = 13$

Step 1.4.2

Cancel the common factor.

$\frac{2 (6 + x)}{2 \cdot 1} = 13$

Step 1.4.3

Rewrite the expression.

$\frac{6 + x}{1} = 13$

Step 1.4.4

Divide $6 + x$ by $1$ .

$6 + x = 13$

Step 2

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

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Step 2.1

Subtract $6$ from both sides of the equation.

$x = 13 - 6$

Step 2.2

Subtract $6$ from $13$ .

$x = 7$