Solving the Equation: 3(x+1)+4(2x-1)=5(x+5)-2(x-3)
In this article, we will solve the equation 3(x+1)+4(2x-1)=5(x+5)-2(x-3) step by step.
Simplifying the Left Side of the Equation
Let's start by simplifying the left side of the equation:
3(x+1) + 4(2x-1)
= 3x + 3 + 8x - 4
= 11x - 1
Simplifying the Right Side of the Equation
Next, let's simplify the right side of the equation:
5(x+5) - 2(x-3)
= 5x + 25 - 2x + 6
= 3x + 31
Equating the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
11x - 1 = 3x + 31
Solving for x
Let's solve for x by adding 1 to both sides of the equation:
11x = 3x + 32
Subtracting 3x from both sides gives us:
8x = 32
Dividing both sides by 8 gives us:
x = 4
Therefore, the value of x is 4.
Conclusion
In this article, we have successfully solved the equation 3(x+1)+4(2x-1)=5(x+5)-2(x-3) and found that the value of x is 4.
