Solve 2(85x-7(x+2)]>3(4-x)

$$2 ( 85 x - 7 ( x + 2 ) ] > 3 ( 4 - x )$$

Solve for x

$$x>\frac{40}{159}$$

Solution Steps

Use the distributive property to multiply -7 by x+2.

$$2\left(85x-7x-14\right)>3\left(4-x\right)$$

Combine 85x and -7x to get 78x.

$$2\left(78x-14\right)>3\left(4-x\right)$$

Use the distributive property to multiply 2 by 78x-14.

$$156x-28>3\left(4-x\right)$$

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

$$156x-28>12-3x$$

Add 3x to both sides.

$$156x-28+3x>12$$

Combine 156x and 3x to get 159x.

$$159x-28>12$$

Add 28 to both sides.

$$159x>12+28$$

Add 12 and 28 to get 40.

$$159x>40$$

Divide both sides by 159. Since 159 is positive, the inequality direction remains the same.

$$x>\frac{40}{159}$$