Linear Algebra Examples

$5 x + 2 = 17 (3)$

Step 1

Multiply $17$ by $3$ .

$5 x + 2 = 51$

Step 2

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

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Step 2.1

Subtract $2$ from both sides of the equation.

$5 x = 51 - 2$

Step 2.2

Subtract $2$ from $51$ .

$5 x = 49$

Step 3

Divide each term in $5 x = 49$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 x = 49$ by $5$ .

$\frac{5 x}{5} = \frac{49}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{49}{5}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{49}{5}$

Step 4

The domain is the set of all valid $x$ values.

${x | x = \frac{49}{5}}$

Step 5