Solve 4(6-x)-2(3-x)-5=9(5-2x)

$$4(6-x)-2(3-x)-5=9(5-2x)$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 6-x.

$$24-4x-2\left(3-x\right)-5=9\left(5-2x\right)$$

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

$$24-4x-6+2x-5=9\left(5-2x\right)$$

Subtract 6 from 24 to get 18.

$$18-4x+2x-5=9\left(5-2x\right)$$

Combine -4x and 2x to get -2x.

$$18-2x-5=9\left(5-2x\right)$$

Subtract 5 from 18 to get 13.

$$13-2x=9\left(5-2x\right)$$

Use the distributive property to multiply 9 by 5-2x.

$$13-2x=45-18x$$

Add 18x to both sides.

$$13-2x+18x=45$$

Combine -2x and 18x to get 16x.

$$13+16x=45$$

Subtract 13 from both sides.

$$16x=45-13$$

Subtract 13 from 45 to get 32.

$$16x=32$$

Divide both sides by 16.

$$x=\frac{32}{16}$$

Divide 32 by 16 to get 2.

$$x=2$$