Solve x/2-1-14-3x/2leq0

$$\frac { x } { 2 } - 1 - \frac { 14 - 3 x } { 2 } \leq 0$$

Solve for x

$$x\leq 4$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$x-2-\left(14-3x\right)\leq 0$$

To find the opposite of 14-3x, find the opposite of each term.

$$x-2-14-\left(-3x\right)\leq 0$$

The opposite of -3x is 3x.

$$x-2-14+3x\leq 0$$

Subtract 14 from -2 to get -16.

$$x-16+3x\leq 0$$

Combine x and 3x to get 4x.

$$4x-16\leq 0$$

Add 16 to both sides. Anything plus zero gives itself.

$$4x\leq 16$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x\leq \frac{16}{4}$$

Divide 16 by 4 to get 4.

$$x\leq 4$$