1/2x-7=1/3(x-12)

less than a minute read Jun 16, 2024

Solving the Linear Equation: 1/2x - 7 = 1/3(x - 12)

In this article, we will solve the linear equation 1/2x - 7 = 1/3(x - 12) and find the value of x.

First, let's simplify the equation by multiplying both sides by the least common multiple of the denominators, which is 6.

6(1/2x - 7) = 6(1/3(x - 12))

This gives us:

3x - 42 = 2x - 24

Now, let's isolate the variable x by adding 42 to both sides of the equation.

3x = 2x + 18

Subtracting 2x from both sides gives us:

x = 18

Therefore, the value of x is 18. We can plug this value back into the original equation to verify that it is true.

The final answer is x = 18.