Pre-Algebra Examples

$- x + 4 + 14 x > - 4 + 5 x + 24$

Step 1

Add $- x$ and $14 x$ .

$13 x + 4 > - 4 + 5 x + 24$

Step 2

Add $- 4$ and $24$ .

$13 x + 4 > 5 x + 20$

Step 3

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

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Step 3.1

Subtract $5 x$ from both sides of the inequality.

$13 x + 4 - 5 x > 20$

Step 3.2

Subtract $5 x$ from $13 x$ .

$8 x + 4 > 20$

Step 4

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

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Step 4.1

Subtract $4$ from both sides of the inequality.

$8 x > 20 - 4$

Step 4.2

Subtract $4$ from $20$ .

$8 x > 16$

Step 5

Divide each term in $8 x > 16$ by $8$ and simplify.

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Step 5.1

Divide each term in $8 x > 16$ by $8$ .

$\frac{8 x}{8} > \frac{16}{8}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $8$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{8 x}{8} > \frac{16}{8}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x > \frac{16}{8}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $16$ by $8$ .

$x > 2$

Step 6