Solve for x -2(5-4x)<6x-4

$- 2 (5 - 4 x) < 6 x - 4$

Step 1

Simplify $- 2 (5 - 4 x)$ .

Rewrite.

$0 + 0 - 2 (5 - 4 x) < 6 x - 4$

Simplify by adding zeros.

$- 2 (5 - 4 x) < 6 x - 4$

Apply the distributive property.

$- 2 \cdot 5 - 2 (- 4 x) < 6 x - 4$

Multiply.

Multiply $- 2$ by $5$ .

$- 10 - 2 (- 4 x) < 6 x - 4$

Multiply $- 4$ by $- 2$ .

$- 10 + 8 x < 6 x - 4$

Step 2

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

Subtract $6 x$ from both sides of the inequality.

$- 10 + 8 x - 6 x < - 4$

Subtract $6 x$ from $8 x$ .

$- 10 + 2 x < - 4$

Step 3

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

Add $10$ to both sides of the inequality.

$2 x < - 4 + 10$

Add $- 4$ and $10$ .

$2 x < 6$

Step 4

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

Divide each term in $2 x < 6$ by $2$ .

$\frac{2 x}{2} < \frac{6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{6}{2}$

Divide $x$ by $1$ .

$x < \frac{6}{2}$

Simplify the right side.

Divide $6$ by $2$ .

$x < 3$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x < 3$

Interval Notation:

$(- \infty, 3)$