Solving the Equation: 3x - 2(4x - 5) = 7x - 2(3x + 1)
In this article, we will solve the equation 3x - 2(4x - 5) = 7x - 2(3x + 1) step by step.
Step 1: Simplify the Left Side of the Equation
Let's start by simplifying the left side of the equation:
3x - 2(4x - 5) = 3x - 2(4x) + 2(5) = 3x - 8x + 10 = -5x + 10
Step 2: Simplify the Right Side of the Equation
Now, let's simplify the right side of the equation:
7x - 2(3x + 1) = 7x - 2(3x) - 2(1) = 7x - 6x - 2 = x - 2
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
-5x + 10 = x - 2
Step 4: Solve for x
Let's solve for x:
-5x + 10 = x - 2 -5x - x = -2 - 10 -6x = -12 x = -12 / -6 x = 2
Therefore, the value of x is 2.
Conclusion
In this article, we have solved the equation 3x - 2(4x - 5) = 7x - 2(3x + 1) step by step. The final answer is x = 2.
