Solve 8-(x+5)geq5-3x

$$8 - ( x + 5 ) \geq 5 - 3 x$$

Solve for x

$$x\geq 1$$

Solution Steps

To find the opposite of x+5, find the opposite of each term.

$$8-x-5\geq 5-3x$$

Subtract 5 from 8 to get 3.

$$3-x\geq 5-3x$$

Add 3x to both sides.

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

Combine -x and 3x to get 2x.

$$3+2x\geq 5$$

Subtract 3 from both sides.

$$2x\geq 5-3$$

Subtract 3 from 5 to get 2.

$$2x\geq 2$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x\geq \frac{2}{2}$$

Divide 2 by 2 to get 1.

$$x\geq 1$$