Solve the linear equation.

14x−1/2(4x+6)=3(x−4)−18

To solve the linear equation 14x - 1/2(4x + 6) = 3(x - 4) - 18, we need to simplify the equation and then isolate the variable x.

First, let's simplify the equation by distributing the multiplication:

14x - (1/2)(4x + 6) = 3(x - 4) - 18

14x - (2x + 3) = 3x - 12 - 18

Next, simplify further by removing the parentheses:

14x - 2x - 3 = 3x - 30

Combine like terms:

12x - 3 = 3x - 30

Now, let's isolate the variable x by moving all terms with x to one side of the equation and all constant terms to the other side:

12x - 3 - 3x = 3x - 3x - 30

9x - 3 = -30

Add 3 to both sides of the equation to eliminate the -3 term on the left side:

9x - 3 + 3 = -30 + 3

9x = -27

Lastly, divide both sides of the equation by 9 to solve for x:

9x/9 = -27/9

x = -3

Thus, the solution to the linear equation is x = -3.

14x−1/2(4x+6)=3(x−4)−18

14x - 2x - 3 = 3x - 12 - 18

I am sure you can take it from here.