SOLUTION: Four less than half a number is equal to 37 less than twice the number a) translate the sentence into an equation B) solve the equation. Show your work

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Question 932688: Four less than half a number is equal to 37 less than twice the number
a) translate the sentence into an equation
B) solve the equation. Show your work

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

Four less than half a number is equal to 37 less than twice the number
a) translate the sentence into an equation
let number be x
Four less than half a number is : x%2F2-4
equal to:=
37 less than twice the number:2x-37
so, equation is: x%2F2-4=2x-37

B) solve the equation.
x%2F2-4=2x-37....both sides multiply by 2
2x%2F2-2%2A4=2%2A2x-2%2A37
cross%282%29x%2Fcross%282%29-8=4x-74
x-8=4x-74
74-8=4x-x
3x=66
x=66%2F3
x=22