Question

Solve for x. Show each step of the solution. 2.5(10 - x) + 10 = 72 – 1.5(5x + 12)

Answer 1

Consider the given equation:

`2.5(10-x)+10 = 72 -1.5(5x+12)`

Applying distributive property,
`a(b+c) = ab + ac`

`(2.5 * 10) + (2.5 * -x) + 10 = 72 - (1.5 * 5x) + (-1.5 * 12)`

`25 - 2.5x + 10 = 72 - 7.5x - 18`

Adding and subtracting like terms, we get

`35-2.5x = 54 - 7.5x`

`35 - 54 = 2.5x -7.5x`

`-19 = -5x`

`x = (19)/(5)`

x = 3.8

So, the value of 'x' in the given equation is 3.8

Answer 2

Answer : x = 3.8

Explanation:

Since we have given that

`2.5(10-x)+10=72-1.5(5x+12)`

We are basically use the method of transposing to solve the linear equation in one variable :

`25-2.5x+10=72-7.5x-18\\35-2.5x=54-7.5x\\\text{(collect the like terms by using the method of transposing )}\\7.5x-2.5x=54-35\\5x=19\\x=(19)/(5)\\x=3.8`

Hence, x = 3.8