1/2x+6=1/3x
To find the value of x in the equation 1/2x + 6 = 1/3x, we can follow these steps:
Step 1: Clear the fractions by multiplying each term by the least common denominator (LCD), which is 6 in this case.
Multiplying the entire equation by 6 gives us:
6 * (1/2x) + 6 * 6 = 6 * (1/3x)
Simplifying this expression, we get:
3x + 36 = 2x
Step 2: Isolate the variable. In this case, we are trying to solve for x, so we want to gather the x terms on one side of the equation.
Subtracting 2x from both sides gives us:
3x - 2x + 36 = 0
Simplifying this expression, we get:
x + 36 = 0
Step 3: Solve for x.
Subtracting 36 from both sides gives us:
x = -36
Therefore, the value of x that satisfies the equation 1/2x + 6 = 1/3x is x = -36.