Algebra Examples

$\frac{- 5 x - 10}{5} - 15 = - 2 x + 20$

Step 1

Simplify $\frac{- 5 x - 10}{5} - 15$ .

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Step 1.1

Cancel the common factor of $- 5 x - 10$ and $5$ .

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Step 1.1.1

Factor $5$ out of $- 5 x$ .

$\frac{5 (- x) - 10}{5} - 15 = - 2 x + 20$

Step 1.1.2

Factor $5$ out of $- 10$ .

$\frac{5 (- x) + 5 \cdot - 2}{5} - 15 = - 2 x + 20$

Step 1.1.3

Factor $5$ out of $5 (- x) + 5 (- 2)$ .

$\frac{5 (- x - 2)}{5} - 15 = - 2 x + 20$

Step 1.1.4

Cancel the common factors.

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Step 1.1.4.1

Factor $5$ out of $5$ .

$\frac{5 (- x - 2)}{5 (1)} - 15 = - 2 x + 20$

Step 1.1.4.2

Cancel the common factor.

$\frac{5 (- x - 2)}{5 \cdot 1} - 15 = - 2 x + 20$

Step 1.1.4.3

Rewrite the expression.

$\frac{- x - 2}{1} - 15 = - 2 x + 20$

Step 1.1.4.4

Divide $- x - 2$ by $1$ .

$- x - 2 - 15 = - 2 x + 20$

Step 1.2

Subtract $15$ from $- 2$ .

$- x - 17 = - 2 x + 20$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Add $2 x$ to both sides of the equation.

$- x - 17 + 2 x = 20$

Step 2.2

Add $- x$ and $2 x$ .

$x - 17 = 20$

Step 3

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

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Step 3.1

Add $17$ to both sides of the equation.

$x = 20 + 17$

Step 3.2

Add $20$ and $17$ .

$x = 37$