Solve for x 5-4(1-x)<=4

$5 - 4 (1 - x) \leq 4$

Step 1

Simplify $5 - 4 (1 - x)$ .

Simplify each term.

Apply the distributive property.

$5 - 4 \cdot 1 - 4 (- x) \leq 4$

Multiply $- 4$ by $1$ .

$5 - 4 - 4 (- x) \leq 4$

Multiply $- 1$ by $- 4$ .

$5 - 4 + 4 x \leq 4$

Subtract $4$ from $5$ .

$1 + 4 x \leq 4$

Step 2

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

Subtract $1$ from both sides of the inequality.

$4 x \leq 4 - 1$

Subtract $1$ from $4$ .

$4 x \leq 3$

Step 3

Divide each term in $4 x \leq 3$ by $4$ and simplify.

Divide each term in $4 x \leq 3$ by $4$ .

$\frac{4 x}{4} \leq \frac{3}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} \leq \frac{3}{4}$

Divide $x$ by $1$ .

$x \leq \frac{3}{4}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq \frac{3}{4}$

Interval Notation:

$(- \infty, \frac{3}{4}]$