I do not understand how the solution to(3/2)x +2=15+x is x=34. Can anyone explain?
(3/2)x +2=15+x
multiply every term, both sides, by 2 to get rid of the fraction.
3 x + 4 = 30 + 2 x
x = 26 in fact
are you sure the equation was not:
(3/2)x -2=15+x ?????
Of course! Let's go step by step to understand how to solve the equation (3/2)x + 2 = 15 + x and find the value of x.
Step 1: Eliminate the fractions (if any)
To eliminate the fractions, we can multiply both sides of the equation by the least common denominator (LCD) of the fractions involved. In this case, the LCD is 2. So, we multiply both sides of the equation by 2:
2 * ((3/2)x + 2) = 2 * (15 + x)
Simplifying this, we get:
3x + 4 = 30 + 2x
Step 2: Collect like terms
Next, we need to collect like terms on either side of the equation. We can do this by subtracting 2x from both sides:
3x - 2x + 4 = 30 + 2x - 2x
Simplifying this, we get:
x + 4 = 30
Step 3: Solve for x
Now, we want to isolate the variable x on one side of the equation. We can do this by subtracting 4 from both sides:
x + 4 - 4 = 30 - 4
Simplifying this, we get:
x = 26
Therefore, the solution to the equation (3/2)x + 2 = 15 + x is x = 26, not x = 34. It seems there might have been an error in the initial calculation.