Solve the Inequality for X 3(2x-1)>4+5(X-1)

$3 (2 x - 1) > 4 + 5 (X - 1)$

Rewrite so $X$ is on the left side of the inequality.

$4 + 5 (X - 1) < 3 (2 x - 1)$

Simplify $4 + 5 (X - 1)$ .

Simplify each term.

Apply the distributive property.

$4 + 5 X + 5 \cdot - 1 < 3 (2 x - 1)$

Multiply $5$ by $- 1$ .

$4 + 5 X - 5 < 3 (2 x - 1)$

Subtract $5$ from $4$ .

$5 X - 1 < 3 (2 x - 1)$

Simplify $3 (2 x - 1)$ .

Apply the distributive property.

$5 X - 1 < 3 (2 x) + 3 \cdot - 1$

Multiply.

Multiply $2$ by $3$ .

$5 X - 1 < 6 x + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$5 X - 1 < 6 x - 3$

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

Add $1$ to both sides of the inequality.

$5 X < 6 x - 3 + 1$

Add $- 3$ and $1$ .

$5 X < 6 x - 2$

Divide each term in $5 X < 6 x - 2$ by $5$ and simplify.

Divide each term in $5 X < 6 x - 2$ by $5$ .

$\frac{5 X}{5} < \frac{6 x}{5} + \frac{- 2}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 X}{5} < \frac{6 x}{5} + \frac{- 2}{5}$

Divide $X$ by $1$ .

$X < \frac{6 x}{5} + \frac{- 2}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$X < \frac{6 x}{5} - \frac{2}{5}$