12x + 11 = 5x - 3
To solve the equation, we need to isolate the variable on one side of the equation. Let's do that step by step:
12x + 11 = 5x - 3
First, we can start by getting rid of the 5x on the right side of the equation by subtracting 5x from both sides:
12x + 11 - 5x = 5x - 5x - 3
This simplifies to:
7x + 11 = -3
Next, we can get rid of the 11 on the left side of the equation by subtracting 11 from both sides:
7x + 11 - 11 = -3 - 11
This simplifies to:
7x = -14
Finally, we can solve for x by dividing both sides of the equation by 7:
7x/7 = -14/7
This simplifies to:
x = -2
So the solution to the equation is x = -2.
To solve the equation 12x + 11 = 5x - 3, you can follow these steps:
Step 1: Combine the like terms on each side of the equation. To do this, subtract 5x from both sides:
12x - 5x + 11 = 5x - 5x - 3
7x + 11 = -3
Step 2: Now, subtract 11 from both sides of the equation to isolate the variable x:
7x + 11 - 11 = -3 - 11
7x = -14
Step 3: To solve for x, divide both sides of the equation by 7:
(7x)/7 = -14/7
x = -2
Therefore, the solution to the equation 12x + 11 = 5x - 3 is x = -2.