Solving the Equation: 3(x-3) = 5(2x+1)
In this article, we will solve the equation 3(x-3) = 5(2x+1) step by step.
Step 1: Expand the Brackets
First, let's expand the brackets on both sides of the equation:
3(x-3) = 3x - 9 5(2x+1) = 10x + 5
Now, the equation becomes:
3x - 9 = 10x + 5
Step 2: Simplify the Equation
Next, let's simplify the equation by combining like terms:
3x - 10x = 5 + 9 -7x = 14
Step 3: Solve for x
Now, let's solve for x by dividing both sides of the equation by -7:
x = -14/7 x = -2
Therefore, the value of x is -2.
Conclusion
In conclusion, the solution to the equation 3(x-3) = 5(2x+1) is x = -2.
