Solve the Inequality for x 3x-4>=6+5x

$3 x - 4 \geq 6 + 5 x$

Step 1

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

Subtract $5 x$ from both sides of the inequality.

$3 x - 4 - 5 x \geq 6$

Subtract $5 x$ from $3 x$ .

$- 2 x - 4 \geq 6$

Step 2

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

Add $4$ to both sides of the inequality.

$- 2 x \geq 6 + 4$

Add $6$ and $4$ .

$- 2 x \geq 10$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $10$ by $- 2$ .

$x \leq - 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 5$

Interval Notation:

$(- \infty, - 5]$

Solve the Inequality for x 3x-4>=6+5x

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