Question

How to solve this equation
2z -31= -9z +24

Answer 1

`2z -31 = -9z + 24 \\ \\ 2z = -9z + 24 + 31 \\ \\ 2x = -9z + 55 \\ \\ 2z + 9z = 55 \\ \\ 11z = 55 \\ \\ z = (55)/(11) \\ \\ z = 5 \\ \\`

The final result is: z = 5.

You can check the answer by substituting in 5 for the variables. You should get an answer that equals the same exact number.

Answer 2

so remember that you can do anything to an equation as long as you do it to both sides so
try to get all the placehlders on one side

2z-31=-9z+24
we decide to bring allthe placeholders (z) to the left since that has more z's and move the other numbers to the right

2z-31=-9z+24
add 9z to both sides
11z-31=24
add 31 to both sides
11z=55
divide both sides by 11
z=5

answer is z=5