Find the single number that will make these two expressions equivalent-13.8 + and -4.6(3x-2.8)+ 2.5

Answer 1

To make the two expressions equivalent, we need to find the value of the variable that would make both expressions equal.

First, let's simplify the expressions:

13.8 - 4.6(3x - 2.8) + 2.5

To distribute the -4.6:

= 13.8 - 13.8x + 12.88 + 2.5

Now, let's combine like terms:

= -13.8x + 29.18

Now, we need to set the equation equal to each other and solve for x:

-13.8x + 29.18 = 13.8x - 29.18

To isolate x, let's first add 13.8x to both sides:

29.18 = 27.6x - 29.18

Next, add 29.18 to both sides:

58.36 = 27.6x

Finally, divide both sides by 27.6 to solve for x:

x = 58.36 / 27.6 = 2.11

Therefore, the single number that will make the two expressions equivalent is x = 2.11.