Solve -54geq-2x+15

$$- 54 \geq - 2 x + 15$$

Solve for x

$$x\geq \frac{69}{2}$$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-2x+15\leq -54$$

Subtract 15 from both sides.

$$-2x\leq -54-15$$

Subtract 15 from -54 to get -69.

$$-2x\leq -69$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x\geq \frac{-69}{-2}$$

Fraction \frac{-69}{-2} can be simplified to \frac{69}{2} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{69}{2}$$