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

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

Solve for x

$$x = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

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

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

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

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

Subtract 6 from 24 to get 18.

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

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

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

Subtract 5 from 18 to get 13.

$$13-2x=9\left(5-2x\right)-4x$$

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

$$13-2x=45-18x-4x$$

Combine -18x and -4x to get -22x.

$$13-2x=45-22x$$

Add 22x to both sides.

$$13-2x+22x=45$$

Combine -2x and 22x to get 20x.

$$13+20x=45$$

Subtract 13 from both sides.

$$20x=45-13$$

Subtract 13 from 45 to get 32.

$$20x=32$$

Divide both sides by 20.

$$x=\frac{32}{20}$$

Reduce the fraction \frac{32}{20} to lowest terms by extracting and canceling out 4.

$$x=\frac{8}{5}$$