SOLUTION: seven more than four times a nnumber is the same as five less than eight times the number.what is the number?
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Question 343281: seven more than four times a nnumber is the same as five less than eight times the number.what is the number?
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
4x+7=8x-5
Since 8x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 8x from both sides.
4x+7-8x=-5
Since 4x and -8x are like terms, add -8x to 4x to get -4x.
-4x+7=-5
Since 7 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 7 from both sides.
-4x=-7-5
Subtract 5 from -7 to get -12.
-4x=-12
Divide each term in the equation by -4.
-(4x)/(-4)=-(12)/(-4)
Simplify the left-hand side of the equation by canceling the common factors.
x=-(12)/(-4)
Simplify the right-hand side of the equation by simplifying each term.
x=3
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