Pre-Algebra Examples

$(- 2 x - 4) = 6$

Step 1

Solve for $y$ .

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Step 1.1

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

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Step 1.1.1

Add $4$ to both sides of the equation.

$- 2 x = 6 + 4$

Step 1.1.2

Add $6$ and $4$ .

$- 2 x = 10$

Step 1.2

Divide each term in $- 2 x = 10$ by $- 2$ and simplify.

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Step 1.2.1

Divide each term in $- 2 x = 10$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{10}{- 2}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 2$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{10}{- 2}$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{10}{- 2}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $10$ by $- 2$ .

$x = - 5$

Step 2

Since $x = - 5$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ - 5 & 0 \\ - 5 & 1 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ - 5 & 0 \\ - 5 & 1 \end{array}$

Step 5