Which value of 'x' is the solution of the equation 2x/3 + x/6 = 5?
2x/3 + x/6 = 5
4x/6 + x/6 = 5
5x/6 = 5
5x = 30
x = ?
To find the value of 'x' that satisfies the equation 2x/3 + x/6 = 5, we need to solve for 'x'. Here's how you can do it:
Step 1: Simplify the equation by finding the common denominator for 2x/3 and x/6. The common denominator for 3 and 6 is 6, so we can rewrite the equation as (4x + x) / 6 = 5.
Step 2: Combine like terms on the numerator, which gives us 5x / 6 = 5.
Step 3: To isolate 'x', multiply both sides of the equation by 6. This cancels out the denominator on the left side, and we are left with 5x = 30.
Step 4: Divide both sides of the equation by 5 to solve for 'x'. This gives us x = 30 / 5.
So, the value of 'x' that solves the equation 2x/3 + x/6 = 5 is x = 6.