Solve 5(x+2)-3xleq4+2x+3(x-1)

$$5 ( x + 2 ) - 3 x \leq 4 + 2 x + 3 ( x - 1 )$$

Solve for x

$$x\geq 3$$

Solution Steps

Use the distributive property to multiply 5 by x+2.

$$5x+10-3x\leq 4+2x+3\left(x-1\right)$$

Combine 5x and -3x to get 2x.

$$2x+10\leq 4+2x+3\left(x-1\right)$$

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

$$2x+10\leq 4+2x+3x-3$$

Combine 2x and 3x to get 5x.

$$2x+10\leq 4+5x-3$$

Subtract 3 from 4 to get 1.

$$2x+10\leq 1+5x$$

Subtract 5x from both sides.

$$2x+10-5x\leq 1$$

Combine 2x and -5x to get -3x.

$$-3x+10\leq 1$$

Subtract 10 from both sides.

$$-3x\leq 1-10$$

Subtract 10 from 1 to get -9.

$$-3x\leq -9$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x\geq \frac{-9}{-3}$$

Divide -9 by -3 to get 3.

$$x\geq 3$$