Solve 38-7*(x-3)=9*(x+1)

$$38-7 \times (x-3)=9 \times (x+1)$$

Solve for x

$$x = \frac{25}{8} = 3\frac{1}{8} = 3.125$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by x-3.

$$38-7x+21=9\left(x+1\right)$$

Add 38 and 21 to get 59.

$$59-7x=9\left(x+1\right)$$

Use the distributive property to multiply 9 by x+1.

$$59-7x=9x+9$$

Subtract 9x from both sides.

$$59-7x-9x=9$$

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

$$59-16x=9$$

Subtract 59 from both sides.

$$-16x=9-59$$

Subtract 59 from 9 to get -50.

$$-16x=-50$$

Divide both sides by -16.

$$x=\frac{-50}{-16}$$

Reduce the fraction \frac{-50}{-16} to lowest terms by extracting and canceling out -2.

$$x=\frac{25}{8}$$