Solve 3x+6geq4x-4+7

$$3 x + 6 \geq 4 x - 4 + 7$$

Solve for x

$$x\leq 3$$

Solution Steps

Add -4 and 7 to get 3.

$$3x+6\geq 4x+3$$

Subtract 4x from both sides.

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

Combine 3x and -4x to get -x.

$$-x+6\geq 3$$

Subtract 6 from both sides.

$$-x\geq 3-6$$

Subtract 6 from 3 to get -3.

$$-x\geq -3$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x\leq \frac{-3}{-1}$$

Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.

$$x\leq 3$$