Solve for x 5+4x>=2x+3

$5 + 4 x \geq 2 x + 3$

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

Subtract $2 x$ from both sides of the inequality.

$5 + 4 x - 2 x \geq 3$

Subtract $2 x$ from $4 x$ .

$5 + 2 x \geq 3$

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

Subtract $5$ from both sides of the inequality.

$2 x \geq 3 - 5$

Subtract $5$ from $3$ .

$2 x \geq - 2$

Divide each term in $2 x \geq - 2$ by $2$ and simplify.

Divide each term in $2 x \geq - 2$ by $2$ .

$\frac{2 x}{2} \geq \frac{- 2}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} \geq \frac{- 2}{2}$

Divide $x$ by $1$ .

$x \geq \frac{- 2}{2}$

Simplify the right side.

Divide $- 2$ by $2$ .

$x \geq - 1$

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 1$

Interval Notation:

$[- 1, \infty)$