Solve for x:
x/3=x+2/5
multiply by 15 to get rid of those pesky fractions:
x/3 = x + 2/5
5x = 15x + 6
10x = -6
x = -3/5
or,
x/3 = (x+2)/5
5x = 3(x+2)
5x = 3x+6
2x = 6
x = 3
Do you mean:
x/3 = (x+2)/5
or
x/3 = x + 2/5
?
assuming the first
5 x = 3 x + 6
2 x = 6
x = 2
assuming the second (which you wrote)
x/3 = 3x/3 + 2/5
5 x = 15 x + 6
-10 x = 6
x = -3/5
assuming the first
5 x = 3 x + 6
2 x = 6
x = 3
To solve for x in the equation (x/3) = (x+2/5), we can follow these steps:
Step 1: Remove the fractions by finding a common denominator. The common denominator is 15 because it is divisible by both 3 and 5.
Multiply both sides of the equation by 15 to eliminate the fractions:
15 * (x/3) = 15 * (x+2/5)
The equation becomes:
5x = 3(x + 2)
Step 2: Distribute the multiplication on the right side of the equation:
5x = 3x + 6
Step 3: Combine like terms on the right side by subtracting 3x from both sides of the equation:
5x - 3x = 6
2x = 6
Step 4: Solve for x by dividing both sides of the equation by 2:
2x/2 = 6/2
x = 3
Therefore, the solution to the equation is x = 3.