Solve 5(8-x)=3(x-2)

$$5(8-x)=3(x-2)$$

Solve for x

$$x = \frac{23}{4} = 5\frac{3}{4} = 5.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 8-x.

$$40-5x=3\left(x-2\right)$$

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

$$40-5x=3x-6$$

Subtract 3x from both sides.

$$40-5x-3x=-6$$

Combine -5x and -3x to get -8x.

$$40-8x=-6$$

Subtract 40 from both sides.

$$-8x=-6-40$$

Subtract 40 from -6 to get -46.

$$-8x=-46$$

Divide both sides by -8.

$$x=\frac{-46}{-8}$$

Reduce the fraction \frac{-46}{-8} to lowest terms by extracting and canceling out -2.

$$x=\frac{23}{4}$$