Solve 3-(x+6)geq2-6x

$$3 - ( x + 6 ) \geq 2 - 6 x$$

Solve for x

$$x\geq 1$$

Solution Steps

To find the opposite of x+6, find the opposite of each term.

$$3-x-6\geq 2-6x$$

Subtract 6 from 3 to get -3.

$$-3-x\geq 2-6x$$

Add 6x to both sides.

$$-3-x+6x\geq 2$$

Combine -x and 6x to get 5x.

$$-3+5x\geq 2$$

Add 3 to both sides.

$$5x\geq 2+3$$

Add 2 and 3 to get 5.

$$5x\geq 5$$

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

$$x\geq \frac{5}{5}$$

Divide 5 by 5 to get 1.

$$x\geq 1$$