Solve 4x/2+3geq6x-5

$$\frac { 4 x } { 2 } + 3 \geq 6 x - 5$$

Solve for x

$$x\leq 2$$

Solution Steps

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

$$4x+6\geq 12x-10$$

Subtract 12x from both sides.

$$4x+6-12x\geq -10$$

Combine 4x and -12x to get -8x.

$$-8x+6\geq -10$$

Subtract 6 from both sides.

$$-8x\geq -10-6$$

Subtract 6 from -10 to get -16.

$$-8x\geq -16$$

Divide both sides by -8. Since -8 is negative, the inequality direction is changed.

$$x\leq \frac{-16}{-8}$$

Divide -16 by -8 to get 2.

$$x\leq 2$$