Solve 6x-6/2geqx-1

$$\frac { 6 x - 6 } { 2 } \geq x - 1$$

Solve for x

$$x\geq 1$$

Solution Steps

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

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

Subtract 2x from both sides.

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

Combine 6x and -2x to get 4x.

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

Add 6 to both sides.

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

Add -2 and 6 to get 4.

$$4x\geq 4$$

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

$$x\geq \frac{4}{4}$$

Divide 4 by 4 to get 1.

$$x\geq 1$$