Solve 9x-2(x+8)=5x-11(2-x)

$$9 x - 2 ( x + 8 ) = 5 x - 11 ( 2 - x )$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x+8.

$$9x-2x-16=5x-11\left(2-x\right)$$

Combine 9x and -2x to get 7x.

$$7x-16=5x-11\left(2-x\right)$$

Use the distributive property to multiply -11 by 2-x.

$$7x-16=5x-22+11x$$

Combine 5x and 11x to get 16x.

$$7x-16=16x-22$$

Subtract 16x from both sides.

$$7x-16-16x=-22$$

Combine 7x and -16x to get -9x.

$$-9x-16=-22$$

Add 16 to both sides.

$$-9x=-22+16$$

Add -22 and 16 to get -6.

$$-9x=-6$$

Divide both sides by -9.

$$x=\frac{-6}{-9}$$

Reduce the fraction \frac{-6}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{2}{3}$$