Pre-Algebra Examples

$4 x - 3 > - 27$

Step 1

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

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Step 1.1

Add $3$ to both sides of the inequality.

$4 x > - 27 + 3$

Step 1.2

Add $- 27$ and $3$ .

$4 x > - 24$

Step 2

Divide each term in $4 x > - 24$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 x > - 24$ by $4$ .

$\frac{4 x}{4} > \frac{- 24}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 x}{4} > \frac{- 24}{4}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x > \frac{- 24}{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 24$ by $4$ .

$x > - 6$

Step 3