Solve for x 2x-3<3x+4

$2 x - 3 < 3 x + 4$

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

Tap for more steps…

Subtract $3 x$ from both sides of the inequality.

$2 x - 3 - 3 x < 4$

Subtract $3 x$ from $2 x$ .

$- x - 3 < 4$

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

Tap for more steps…

Add $3$ to both sides of the inequality.

$- x < 4 + 3$

Add $4$ and $3$ .

$- x < 7$

Multiply each term in $- x < 7$ by $- 1$

Tap for more steps…

Multiply each term in $- x < 7$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$(- x) \cdot - 1 > 7 \cdot - 1$

Multiply $(- x) \cdot - 1$ .

Tap for more steps…

Multiply $- 1$ by $- 1$ .

$1 x > 7 \cdot - 1$

Multiply $x$ by $1$ .

$x > 7 \cdot - 1$

Multiply $7$ by $- 1$ .

$x > - 7$

The result can be shown in multiple forms.

Inequality Form:

$x > - 7$

Interval Notation:

$(- 7, \infty)$

Solve for x 2x-3<3x+4

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our
App from the store