Algebra Examples

$- 1 = \frac{5 + x}{6}$

Step 1

Rewrite the equation as $\frac{5 + x}{6} = - 1$ .

$\frac{5 + x}{6} = - 1$

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{5 + x}{6} = 6 \cdot - 1$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $6$ .

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Step 3.1.1.1

Cancel the common factor.

$6 \frac{5 + x}{6} = 6 \cdot - 1$

Step 3.1.1.2

Rewrite the expression.

$5 + x = 6 \cdot - 1$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $6$ by $- 1$ .

$5 + x = - 6$

Step 4

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

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Step 4.1

Subtract $5$ from both sides of the equation.

$x = - 6 - 5$

Step 4.2

Subtract $5$ from $- 6$ .

$x = - 11$