Algebra Examples

$10 \geq \frac{x}{3} + 6$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$\frac{x}{3} + 6 \leq 10$

Step 2

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

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Step 2.1

Subtract $6$ from both sides of the inequality.

$\frac{x}{3} \leq 10 - 6$

Step 2.2

Subtract $6$ from $10$ .

$\frac{x}{3} \leq 4$

Step 3

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 \leq 4 \cdot 3$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $3$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{x}{3} \cdot 3 \leq 4 \cdot 3$

Step 4.1.1.2

Rewrite the expression.

$x \leq 4 \cdot 3$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $4$ by $3$ .

$x \leq 12$

Step 5