Question 916644: THe product of 3 and a number is 12 more than the sum of the number and 26.. what is the number
Answer by kmadison(20)   (Show Source):
You can put this solution on YOUR website! To solve this problem, we must find where 3x - 12 = 26 + x
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
-12 + 3x + -1x = 26 + x + -1x
Combine like terms: 3x + -1x = 2x
-12 + 2x = 26 + x + -1x
Combine like terms: x + -1x = 0
-12 + 2x = 26 + 0
-12 + 2x = 26
Add '12' to each side of the equation.
-12 + 12 + 2x = 26 + 12
Combine like terms: -12 + 12 = 0
0 + 2x = 26 + 12
2x = 26 + 12
Combine like terms: 26 + 12 = 38
2x = 38
Divide each side by '2'.
x = 19
Simplifying
x = 19
Check: 3*19 = 57 - 12 = 45
26 + 19 = 45
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