1/3x+5(12-x)=2x
To solve the equation 1/3x + 5(12 - x) = 2x, we need to follow a specific set of steps. Here's how you can solve it:
Step 1: Distribute the 5 to both terms within the parentheses:
1/3x + 60 - 5x = 2x
Step 2: Combine like terms on the left side of the equation:
60 - 1/3x - 5x = 2x
Step 3: To make it easier to work with, let's clear the fraction by multiplying every term by 3:
3(60 - 1/3x - 5x) = 3(2x)
Simplifying:
180 - x - 15x = 6x
Step 4: Combine like terms on the left side:
180 - 16x = 6x
Step 5: Isolate the variable term by adding 16x to both sides:
180 = 6x + 16x
Step 6: Combine like terms on the right side:
180 = 22x
Step 7: Solve for x by dividing both sides by 22:
x = 180 / 22
Step 8: Simplify the decimal:
x ≈ 8.182
Therefore, the solution to the equation is approximately x ≈ 8.182.