Solve the equation to find the value of x and write and equation to help 3x, (12x + 1) and (16x - 7)
To solve the equation and find the value of x, we equate the three expressions 3x, (12x + 1), and (16x - 7) to each other:
3x = 12x + 1 = 16x - 7
Let's solve this equation step by step:
Step 1:
Start with equating the first two expressions:
3x = 12x + 1
Step 2:
Subtract 12x from both sides to isolate the x term on one side of the equation:
3x - 12x = 12x + 1 - 12x
-9x = 1
Step 3:
Divide both sides of the equation by -9 to solve for x:
x = 1 / -9
x = -1/9
Now we have found the value of x, which is -1/9.
To write an equation that relates the expressions 3x, (12x + 1), and (16x - 7), we can set them equal to a variable, let's say y:
3x = (12x + 1) = (16x - 7) = y
This equation states that all three expressions are equal to y.