Solve 9(4x-8)-(x+3)=5(x+9)+5

$$9 ( 4 x - 8 ) - ( x + 3 ) = 5 ( x + 9 ) + 5$$

Solve for x

$$x = \frac{25}{6} = 4\frac{1}{6} \approx 4.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by 4x-8.

$$36x-72-\left(x+3\right)=5\left(x+9\right)+5$$

To find the opposite of x+3, find the opposite of each term.

$$36x-72-x-3=5\left(x+9\right)+5$$

Combine 36x and -x to get 35x.

$$35x-72-3=5\left(x+9\right)+5$$

Subtract 3 from -72 to get -75.

$$35x-75=5\left(x+9\right)+5$$

Use the distributive property to multiply 5 by x+9.

$$35x-75=5x+45+5$$

Add 45 and 5 to get 50.

$$35x-75=5x+50$$

Subtract 5x from both sides.

$$35x-75-5x=50$$

Combine 35x and -5x to get 30x.

$$30x-75=50$$

Add 75 to both sides.

$$30x=50+75$$

Add 50 and 75 to get 125.

$$30x=125$$

Divide both sides by 30.

$$x=\frac{125}{30}$$

Reduce the fraction \frac{125}{30} to lowest terms by extracting and canceling out 5.

$$x=\frac{25}{6}$$