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

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

Solve for x

$$x=13$$

Steps for Solving Linear Equation

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

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

Subtract 21 from 38 to get 17.

$$17+7x=9\left(x-1\right)$$

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

$$17+7x=9x-9$$

Subtract 9x from both sides.

$$17+7x-9x=-9$$

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

$$17-2x=-9$$

Subtract 17 from both sides.

$$-2x=-9-17$$

Subtract 17 from -9 to get -26.

$$-2x=-26$$

Divide both sides by -2.

$$x=\frac{-26}{-2}$$

Divide -26 by -2 to get 13.

$$x=13$$