Solving the Equation: 2/3(3x+9) = -2(2x+6)
In this article, we will solve the equation 2/3(3x+9) = -2(2x+6) and find the value of x.
Equation:
2/3(3x+9) = -2(2x+6)
Step 1: Simplify the Left Side
To simplify the left side of the equation, we can start by distributing the 2/3 to the terms inside the parentheses.
2/3(3x) + 2/3(9) = -2(2x+6)
This gives us:
2x + 6 = -2(2x+6)
Step 2: Simplify the Right Side
Now, let's simplify the right side of the equation by distributing the -2 to the terms inside the parentheses.
2x + 6 = -4x - 12
Step 3: Combine Like Terms
Next, we can combine like terms on both sides of the equation.
2x + 6 = -4x - 12
Add 4x to both sides:
6x + 6 = -12
Step 4: Solve for x
Now, we can solve for x by subtracting 6 from both sides and then dividing by 6.
6x = -18
x = -18/6
x = -3
Conclusion
Therefore, the value of x is -3. We have successfully solved the equation 2/3(3x+9) = -2(2x+6).
