Pre-Algebra Examples

$- 19 = 3 x - 1$

Step 1

Rewrite the equation as $3 x - 1 = - 19$ .

$3 x - 1 = - 19$

Step 2

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

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Step 2.1

Add $1$ to both sides of the equation.

$3 x = - 19 + 1$

Step 2.2

Add $- 19$ and $1$ .

$3 x = - 18$

Step 3

Divide each term in $3 x = - 18$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x = - 18$ by $3$ .

$\frac{3 x}{3} = \frac{- 18}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 18}{3}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 18}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 18$ by $3$ .

$x = - 6$