Solve the Inequality for x 3(x+2)<3x+5

$3 (x + 2) < 3 x + 5$

Step 1

Simplify $3 (x + 2)$ .

Rewrite.

$0 + 0 + 3 (x + 2) < 3 x + 5$

Simplify by adding zeros.

$3 (x + 2) < 3 x + 5$

Apply the distributive property.

$3 x + 3 \cdot 2 < 3 x + 5$

Multiply $3$ by $2$ .

$3 x + 6 < 3 x + 5$

Step 2

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

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

$3 x + 6 - 3 x < 5$

Combine the opposite terms in $3 x + 6 - 3 x$ .

Subtract $3 x$ from $3 x$ .

$0 + 6 < 5$

Add $0$ and $6$ .

$6 < 5$

Step 3

Since $6 > 5$ , there are no solutions.

No solution