SOLUTION: Ten more than four times a number is equal to the difference between -22 and four times the number. Find the number.

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Question 1135241: Ten more than four times a number is equal to the difference between -22 and four times the number. Find the number.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The number, x

Either 4x%2B10=%28-22%29-4x
OR 4x%2B10=4x-%28-22%29

One of those has a solution but the other has none. Solve the meaningful one.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let number be x
Ten more than four times a number:4x%2B10
is equal to :=
the difference between -22 and four times the number:-22-4x

4x%2B10=-22-4x
4x%2B4x=-22-10
8x=-32
x=-32%2F8
x=-4