Solve 9x-7(2-x)<8(x+11)+8x

$$9x-7(2-x) < 8(x+11)+8x$$

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

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

$$9x-14+7x<8\left(x+11\right)+8x$$

Combine 9x and 7x to get 16x.

$$16x-14<8\left(x+11\right)+8x$$

Use the distributive property to multiply 8 by x+11.

$$16x-14<8x+88+8x$$

Combine 8x and 8x to get 16x.

$$16x-14<16x+88$$

Subtract 16x from both sides.

$$16x-14-16x<88$$

Combine 16x and -16x to get 0.

$$-14<88$$

This is true for any x.

$$x\in \mathrm{R}$$