Solve the Inequality for x (-2x+10+4x)/2>4

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

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

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

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

Factor $2$ out of $10$ .

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

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

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

Factor $2$ out of $4 x$ .

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

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

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$- x + 5 + 2 x > 4$

Solve for $x$ .

Add $- x$ and $2 x$ .

$x + 5 > 4$

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

Subtract $5$ from both sides of the inequality.

$x > 4 - 5$

Subtract $5$ from $4$ .

$x > - 1$

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$