Question

Show the steps on solving

Answer 1

0.3(12x-16) = 0.4(12-3x)
0.3 is easier written as 3/10 and 0.4 easier written as 2/5, but in this case, 4/10 would help with the other fractions

3*12x/10-16*3/10 = 12*4/10 - 3x*4/10

36x/10-48/10 = 48/10 - 12x/10

since all the fractions are divided by 10, you can remove them totally by multiplying everything with 10

36x-48 = 48 - 12x

36x + 12x = 48 + 48

Here we moved the numbers, by adding them to both sides

48x = 48*2
we can find x by dividing by 48

x = 48*2/48
since we have a 48 both over and under the fraction we can cross out both

x = 2/1 = 2