Solve 8(9-x)=5(2-3x)

$$8(9-x)=5(2-3x)$$

Solve for x

$$x = -\frac{62}{7} = -8\frac{6}{7} \approx -8.857142857$$

Steps for Solving Linear Equation

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

$$72-8x=5\left(2-3x\right)$$

Use the distributive property to multiply 5 by 2-3x.

$$72-8x=10-15x$$

Add 15x to both sides.

$$72-8x+15x=10$$

Combine -8x and 15x to get 7x.

$$72+7x=10$$

Subtract 72 from both sides.

$$7x=10-72$$

Subtract 72 from 10 to get -62.

$$7x=-62$$

Divide both sides by 7.

$$x=\frac{-62}{7}$$

Fraction \frac{-62}{7} can be rewritten as -\frac{62}{7} by extracting the negative sign.

$$x=-\frac{62}{7}$$