Solve the Inequality for x 19+x>15+3(x-2)

$19 + x > 15 + 3 (x - 2)$

Simplify $15 + 3 (x - 2)$ .

Simplify each term.

Apply the distributive property.

$19 + x > 15 + 3 x + 3 \cdot - 2$

Multiply $3$ by $- 2$ .

$19 + x > 15 + 3 x - 6$

Subtract $6$ from $15$ .

$19 + x > 3 x + 9$

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

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

$19 + x - 3 x > 9$

Subtract $3 x$ from $x$ .

$19 - 2 x > 9$

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

Subtract $19$ from both sides of the inequality.

$- 2 x > 9 - 19$

Subtract $19$ from $9$ .

$- 2 x > - 10$

Divide each term in $- 2 x > - 10$ by $- 2$ and simplify.

Divide each term in $- 2 x > - 10$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} < \frac{- 10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} < \frac{- 10}{- 2}$

Divide $x$ by $1$ .

$x < \frac{- 10}{- 2}$

Simplify the right side.

Divide $- 10$ by $- 2$ .

$x < 5$

The result can be shown in multiple forms.

Inequality Form:

$x < 5$

Interval Notation:

$(- \infty, 5)$

Solve the Inequality for x 19+x>15+3(x-2)

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