Solve the Inequality for x 3(x+4)-5(x-1)<5

$3 (x + 4) - 5 (x - 1) < 5$

Simplify $3 (x + 4) - 5 (x - 1)$ .

Simplify each term.

Apply the distributive property.

$3 x + 3 \cdot 4 - 5 (x - 1) < 5$

Multiply $3$ by $4$ .

$3 x + 12 - 5 (x - 1) < 5$

Apply the distributive property.

$3 x + 12 - 5 x - 5 \cdot - 1 < 5$

Multiply $- 5$ by $- 1$ .

$3 x + 12 - 5 x + 5 < 5$

Simplify by adding terms.

Subtract $5 x$ from $3 x$ .

$- 2 x + 12 + 5 < 5$

Add $12$ and $5$ .

$- 2 x + 17 < 5$

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

Subtract $17$ from both sides of the inequality.

$- 2 x < 5 - 17$

Subtract $17$ from $5$ .

$- 2 x < - 12$

Divide each term in $- 2 x < - 12$ by $- 2$ and simplify.

Divide each term in $- 2 x < - 12$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} > \frac{- 12}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} > \frac{- 12}{- 2}$

Divide $x$ by $1$ .

$x > \frac{- 12}{- 2}$

Simplify the right side.

Divide $- 12$ by $- 2$ .

$x > 6$

The result can be shown in multiple forms.

Inequality Form:

$x > 6$

Interval Notation:

$(6, \infty)$

Solve the Inequality for x 3(x+4)-5(x-1)<5

Related Questions

Support LCMGCF.com by disabling your adblocker.