Algebra Examples

$\frac{- 2 x + 10 + 4 x}{2} > 4$

Step 1

Cancel the common factor of $- 2 x + 10 + 4 x$ and $2$ .

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Step 1.1

Factor $2$ out of $- 2 x$ .

$\frac{2 (- x) + 10 + 4 x}{2} > 4$

Step 1.2

Factor $2$ out of $10$ .

$\frac{2 (- x) + 2 \cdot 5 + 4 x}{2} > 4$

Step 1.3

Factor $2$ out of $2 (- x) + 2 (5)$ .

$\frac{2 (- x + 5) + 4 x}{2} > 4$

Step 1.4

Factor $2$ out of $4 x$ .

$\frac{2 (- x + 5) + 2 (2 x)}{2} > 4$

Step 1.5

Factor $2$ out of $2 (- x + 5) + 2 (2 x)$ .

$\frac{2 (- x + 5 + 2 x)}{2} > 4$

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $2$ out of $2$ .

$\frac{2 (- x + 5 + 2 x)}{2 (1)} > 4$

Step 1.6.2

Cancel the common factor.

$\frac{2 (- x + 5 + 2 x)}{2 \cdot 1} > 4$

Step 1.6.3

Rewrite the expression.

$\frac{- x + 5 + 2 x}{1} > 4$

Step 1.6.4

Divide $- x + 5 + 2 x$ by $1$ .

$- x + 5 + 2 x > 4$

Step 2

Solve for $x$ .

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Step 2.1

Add $- x$ and $2 x$ .

$x + 5 > 4$

Step 2.2

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

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Step 2.2.1

Subtract $5$ from both sides of the inequality.

$x > 4 - 5$

Step 2.2.2

Subtract $5$ from $4$ .

$x > - 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$