Solve 9+8[1+2(2x-8)]=6(x+9)

$$9 + 8 [ 1 + 2 ( 2 x - 8 ) ] = 6 ( x + 9 )$$

Solve for x

$$x = \frac{165}{26} = 6\frac{9}{26} \approx 6.346153846$$

Steps for Solving Linear Equation

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

$$9+8\left(1+4x-16\right)=6\left(x+9\right)$$

Subtract 16 from 1 to get -15.

$$9+8\left(-15+4x\right)=6\left(x+9\right)$$

Use the distributive property to multiply 8 by -15+4x.

$$9-120+32x=6\left(x+9\right)$$

Subtract 120 from 9 to get -111.

$$-111+32x=6\left(x+9\right)$$

Use the distributive property to multiply 6 by x+9.

$$-111+32x=6x+54$$

Subtract 6x from both sides.

$$-111+32x-6x=54$$

Combine 32x and -6x to get 26x.

$$-111+26x=54$$

Add 111 to both sides.

$$26x=54+111$$

Add 54 and 111 to get 165.

$$26x=165$$

Divide both sides by 26.

$$x=\frac{165}{26}$$