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.