Pre-Algebra Examples

$\frac{8 - 2 x}{2 x + 5} = 0$

Step 1

Set the numerator equal to zero.

$8 - 2 x = 0$

Step 2

Solve the equation for $x$ .

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Step 2.1

Subtract $8$ from both sides of the equation.

$- 2 x = - 8$

Step 2.2

Divide each term in $- 2 x = - 8$ by $- 2$ and simplify.

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Step 2.2.1

Divide each term in $- 2 x = - 8$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 8}{- 2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 8}{- 2}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 8}{- 2}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $- 8$ by $- 2$ .

$x = 4$