Solve 3(x-2)geqx-4

$$3 ( x - 2 ) \geq x - 4$$

Solve for x

$$x\geq 1$$

Solution Steps

Use the distributive property to multiply 3 by x-2.

$$3x-6\geq x-4$$

Subtract x from both sides.

$$3x-6-x\geq -4$$

Combine 3x and -x to get 2x.

$$2x-6\geq -4$$

Add 6 to both sides.

$$2x\geq -4+6$$

Add -4 and 6 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.

$$x\geq 1$$