(x+2)/5=(10-2x)/3 Thank You.
multiply each side by 15
3(x+2)=5(10-2x)
3x+6=50-10x
subtract six from each side, add 10x to each side
13x=44
x=44/13
what do you mean by multiply each side by 15. What is this method called?
it is called getting a common denominator, then eliminating it.
To solve the equation (x + 2)/5 = (10 - 2x)/3, we can follow these steps:
Step 1: Clear the denominators.
To do this, we multiply both sides of the equation by the least common multiple (LCM) of the denominators, which in this case is 15.
15 * [(x + 2)/5] = 15 * [(10 - 2x)/3]
This simplifies to:
3(x + 2) = 5(10 - 2x)
Step 2: Distribute the terms.
Multiply both sides of the equation by the values inside the parentheses.
3x + 6 = 50 - 10x
Step 3: Combine like terms.
Combine the x terms and constants on both sides of the equation.
3x + 10x = 50 - 6
This simplifies to:
13x = 44
Step 4: Isolate x.
Divide both sides of the equation by the coefficient of x, which is 13.
x = 44/13
Step 5: Simplify the answer (if necessary).
If possible, simplify the resulting fraction. In this case, 44/13 is already in its simplest form.
Therefore, the solution to the equation (x + 2)/5 = (10 - 2x)/3 is x = 44/13.