To solve the equation, we want to isolate the variable x on one side of the equation.
First, we can simplify both sides by combining like terms.
Starting with the left side:
12x + 5
Next, let's simplify the right side:
10x - 11
Now, we can set the two sides equal to each other:
12x + 5 = 10x - 11
To isolate the variable x, we need to move all terms containing x to one side of the equation.
Let's start by moving the 10x term to the left side by subtracting 10x from both sides:
12x - 10x + 5 = -11
Simplifying, we have:
2x + 5 = -11
Next, we can move the constant term 5 to the right side by subtracting 5 from both sides:
2x + 5 - 5 = -11 - 5
Simplifying, we have:
2x = -16
Finally, to solve for x, we divide both sides of the equation by 2:
(2x)/2 = -16/2
Simplifying, we have:
x = -8
Therefore, the solution to the equation 12x + 5 = 10x - 11 is x = -8.