Solve 3(2-5x)+2x<2(4+2x)

$$3 ( 2 - 5 x ) + 2 x < 2 ( 4 + 2 x )$$

Solve for x

$$x>-\frac{2}{17}$$

Solution Steps

Use the distributive property to multiply 3 by 2-5x.

$$6-15x+2x<2\left(4+2x\right)$$

Combine -15x and 2x to get -13x.

$$6-13x<2\left(4+2x\right)$$

Use the distributive property to multiply 2 by 4+2x.

$$6-13x<8+4x$$

Subtract 4x from both sides.

$$6-13x-4x<8$$

Combine -13x and -4x to get -17x.

$$6-17x<8$$

Subtract 6 from both sides.

$$-17x<8-6$$

Subtract 6 from 8 to get 2.

$$-17x<2$$

Divide both sides by -17. Since -17 is negative, the inequality direction is changed.

$$x>-\frac{2}{17}$$