solve for x : -1/3 = 1/2x - 7/14
Whenever I have an equation with fractions, I multiply each term by the LCD, in this case by 42x to get
-14x = 21 - 21x
7x = 21
x = 3
Thank You!!
To solve for x in the equation -1/3 = 1/2x - 7/14, we need to get rid of any fractions and isolate x on one side of the equation. Here's how you can do that:
Step 1: Simplify the fractions on both sides of the equation.
-1/3 can be left as it is, while 7/14 can be simplified to 1/2.
-1/3 = 1/2x - 1/2
Step 2: To eliminate the fractions, multiply both sides of the equation by the least common denominator (LCD), which is 6.
6 * (-1/3) = 6 * (1/2x - 1/2)
Simplifying further:
-2 = 3x - 3
Step 3: Move the constant term (-3) to the other side by adding 3 to both sides of the equation.
-2 + 3 = 3x - 3 + 3
Simplifying again:
1 = 3x
Step 4: Finally, isolate x by dividing both sides of the equation by 3.
1/3 = 3x/3
1/3 = x
Therefore, the solution to the equation -1/3 = 1/2x - 7/14 is x = 1/3.