2/3w+2=5/3w
w=
either w = 2 or w = 1/2, depending on how careless you are with parentheses.
To solve the equation 2/3w + 2 = 5/3w for w, we need to isolate the variable w on one side of the equation. Here's the step-by-step process:
Step 1: Get rid of the fractions by multiplying every term by the least common denominator (LCD), which is 3 in this case. This will eliminate the denominators.
3 * (2/3w) + 3 * 2 = 3 * (5/3w)
After multiplying, the equation becomes:
2w + 6 = 5w
Step 2: Move all terms containing w to one side of the equation by subtracting 2w from both sides:
2w - 2w + 6 = 5w - 2w
After simplifying, the equation becomes:
6 = 3w
Step 3: Solve for w by isolating it on one side of the equation. In this case, we want w to be alone, so divide both sides of the equation by 3:
6/3 = 3w/3
After simplifying, the equation becomes:
2 = w
Therefore, the solution to the equation 2/3w + 2 = 5/3w is w = 2.