Finite Math Examples

$\frac{x}{- 5} + 6 = 2$

Step 1

Move the negative in front of the fraction.

$- \frac{x}{5} + 6 = 2$

Step 2

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

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Step 2.1

Subtract $6$ from both sides of the equation.

$- \frac{x}{5} = 2 - 6$

Step 2.2

Subtract $6$ from $2$ .

$- \frac{x}{5} = - 4$

Step 3

Multiply both sides of the equation by $- 5$ .

$- 5 (- \frac{x}{5}) = - 5 \cdot - 4$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $- 5 (- \frac{x}{5})$ .

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Step 4.1.1.1

Cancel the common factor of $5$ .

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Step 4.1.1.1.1

Move the leading negative in $- \frac{x}{5}$ into the numerator.

$- 5 \frac{- x}{5} = - 5 \cdot - 4$

Step 4.1.1.1.2

Factor $5$ out of $- 5$ .

$5 (- 1) \frac{- x}{5} = - 5 \cdot - 4$

Step 4.1.1.1.3

Cancel the common factor.

$5 \cdot - 1 \frac{- x}{5} = - 5 \cdot - 4$

Step 4.1.1.1.4

Rewrite the expression.

$- - x = - 5 \cdot - 4$

Step 4.1.1.2

Multiply.

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Step 4.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 x = - 5 \cdot - 4$

Step 4.1.1.2.2

Multiply $x$ by $1$ .

$x = - 5 \cdot - 4$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $- 5$ by $- 4$ .

$x = 20$