1/2(x-3)+x=17+3(4-x)

2 min read Jun 16, 2024

Solving the Equation: 1/2(x-3)+x=17+3(4-x)

In this article, we will solve the equation 1/2(x-3)+x=17+3(4-x) step by step.

First, let's simplify the equation by combining like terms:

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

So, the equation becomes:

x/2 - 3/2 + x = 17 + 3(4-x)

Next, let's expand the equation by multiplying 3 with (4-x):

x/2 - 3/2 + x = 17 + 12 - 3x

Now, let's combine like terms:

x/2 + x - 3/2 = 29 - 3x

To solve for x, let's add 3x to both sides of the equation:

x/2 + 4x - 3/2 = 29

Next, let's combine like terms again:

5x/2 - 3/2 = 29

Now, let's add 3/2 to both sides of the equation:

5x/2 = 32

Finally, let's multiply both sides of the equation by 2 to solve for x:

x = 64/5

Therefore, the value of x is 64/5.