Solve 3(x-2)-5xgeqx+3

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

Solve for x

$$x\leq -3$$

Solution Steps

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

$$3x-6-5x\geq x+3$$

Combine 3x and -5x to get -2x.

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

Subtract x from both sides.

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

Combine -2x and -x to get -3x.

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

Add 6 to both sides.

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

Add 3 and 6 to get 9.

$$-3x\geq 9$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x\leq \frac{9}{-3}$$

Divide 9 by -3 to get -3.

$$x\leq -3$$