Solve 9x-16left(3x+2right)-3left(x+1right)=6left(x+2right)-3left(x-1right)

$$9x-16 \left( 3x+2 \right) -3 \left( x+1 \right) = 6 \left( x+2 \right) -3 \left( x-1 \right)$$

Solve for x

$$x = -\frac{10}{9} = -1\frac{1}{9} \approx -1.111111111$$

Steps for Solving Linear Equation

Use the distributive property to multiply -16 by 3x+2.

$$9x-48x-32-3\left(x+1\right)=6\left(x+2\right)-3\left(x-1\right)$$

Combine 9x and -48x to get -39x.

$$-39x-32-3\left(x+1\right)=6\left(x+2\right)-3\left(x-1\right)$$

Use the distributive property to multiply -3 by x+1.

$$-39x-32-3x-3=6\left(x+2\right)-3\left(x-1\right)$$

Combine -39x and -3x to get -42x.

$$-42x-32-3=6\left(x+2\right)-3\left(x-1\right)$$

Subtract 3 from -32 to get -35.

$$-42x-35=6\left(x+2\right)-3\left(x-1\right)$$

Use the distributive property to multiply 6 by x+2.

$$-42x-35=6x+12-3\left(x-1\right)$$

Use the distributive property to multiply -3 by x-1.

$$-42x-35=6x+12-3x+3$$

Combine 6x and -3x to get 3x.

$$-42x-35=3x+12+3$$

Add 12 and 3 to get 15.

$$-42x-35=3x+15$$

Subtract 3x from both sides.

$$-42x-35-3x=15$$

Combine -42x and -3x to get -45x.

$$-45x-35=15$$

Add 35 to both sides.

$$-45x=15+35$$

Add 15 and 35 to get 50.

$$-45x=50$$

Divide both sides by -45.

$$x=\frac{50}{-45}$$

Reduce the fraction \frac{50}{-45} to lowest terms by extracting and canceling out 5.

$$x=-\frac{10}{9}$$