Solve 3(x+2)+4geq5+4x

$$3 ( x + 2 ) + 4 \geq 5 + 4 x$$

Solve for x

$$x\leq 5$$

Solution Steps

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

$$3x+6+4\geq 5+4x$$

Add 6 and 4 to get 10.

$$3x+10\geq 5+4x$$

Subtract 4x from both sides.

$$3x+10-4x\geq 5$$

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

$$-x+10\geq 5$$

Subtract 10 from both sides.

$$-x\geq 5-10$$

Subtract 10 from 5 to get -5.

$$-x\geq -5$$

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

$$x\leq \frac{-5}{-1}$$

Fraction \frac{-5}{-1} can be simplified to 5 by removing the negative sign from both the numerator and the denominator.

$$x\leq 5$$