Solve 4(3x-1)geq-3(x+2)

$$4 ( 3 x - 1 ) \geq - 3 ( x + 2 )$$

Solve for x

$$x\geq -\frac{2}{15}$$

Solution Steps

Use the distributive property to multiply 4 by 3x-1.

$$12x-4\geq -3\left(x+2\right)$$

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

$$12x-4\geq -3x-6$$

Add 3x to both sides.

$$12x-4+3x\geq -6$$

Combine 12x and 3x to get 15x.

$$15x-4\geq -6$$

Add 4 to both sides.

$$15x\geq -6+4$$

Add -6 and 4 to get -2.

$$15x\geq -2$$

Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.

$$x\geq -\frac{2}{15}$$