SOLUTION: Six times the sum of a number and -15 is 76 more than four times the number. Find the number. (show your work) Thanks From Precious

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Question 42103: Six times the sum of a number and -15 is 76 more than four times the number. Find the number. (show your work)
Thanks From Precious
Found 2 solutions by PaulAllen65270, tutorcecilia:
Answer by PaulAllen65270(19) About Me  (Show Source):
You can put this solution on YOUR website!
First you need to find the equation
6%2A%28x-15%29 would be 6 times the sum of a number and -15. "is" in a word problem like this always means equals
6%2A%28x-15%29=76%2B4x more than means to add just like sum. So this is the equation now you simply solve for x
6x-90=76%2B4x Multiply the six to get rid of paranthesis (sp)
2x=166 Add 90 to both sides, and subtract 4x from both sides to get like variables on the same side
x=83 Divide both sides by 2.

Answer by tutorcecilia(2105) About Me  (Show Source):
You can put this solution on YOUR website!
Translate the English words into mathematical symbols and operations. The word "sum" means addition. "A number" is the unknown number and can be represented by "x" or "n" or some other variable. "More than" is to add to a number. "Times" means to multiply. Usually "is" means "equals".
6[x+)-15)] = 4x + 76
Simplify
6x-90 = 4x + 76
Solve for x
6x - 4x -90 = 4x -4x + 76
2x -90 = 76
2x -90 + 90 = 76 + 90
2x = 166
2x/2 = 166/2
X = 83
Check the answer by plugging x=83 back into the original equation. Both sides of the equation should be equal.