Question

Solve for x. Show each step of the solution. 4.8(9-x)+36=102-2.5(2x+2)

Answer 1

4.8(9−x)+36=102−2.5(2x+2)

First we will expand the equation by removing those parenthesis. We can use the distributive property. An example is 4.8(9-x) is 43.2-4.8x

43.2-4.8x+36 = 102-5x-5

Then we simplify each side by combining like terms.

79.2-4.8x=97-5x

Then to isolate the variable, we will subtract 79.2 on both sides.

-4.8x=17.8-5x

Then add 5x on both sides

0.2x=17.8

Finally, divide both sides by 0.2 and you get

x=89

Answer 2

x =89

Explanation:

4.8(9-x)+36=102-2.5(2x+2)

Distribute

43.2 - 4.8x + 36 = 102 - 5x -5

Combine like terms

79.2 -4.8x = 97-5x

Add 5x to each side

79.2 -4.8x+5x = 97-5x+5x

79.2 + .2x = 97

Subtract 79.2 from each side

79.2 -79.2+ .2x = 97-79.2

.2x =17.8

Divide by .2

.2x/.2 = 17.8/.2

x =89