Pre-Algebra Examples

$2 y < y + 5 x - 2$

Step 1

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

$y + 5 x - 2 > 2 y$

Step 2

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

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Step 2.1

Subtract $y$ from both sides of the inequality.

$5 x - 2 > 2 y - y$

Step 2.2

Add $2$ to both sides of the inequality.

$5 x > 2 y - y + 2$

Step 2.3

Subtract $y$ from $2 y$ .

$5 x > y + 2$

Step 3

Divide each term in $5 x > y + 2$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 x > y + 2$ by $5$ .

$\frac{5 x}{5} > \frac{y}{5} + \frac{2}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 x}{5} > \frac{y}{5} + \frac{2}{5}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x > \frac{y}{5} + \frac{2}{5}$