%3D15-3(x%2B1).jpeg "12+2(x-5)=15-3(x+1)")
Solving the Equation: 12+2(x-5)=15-3(x+1)
In this article, we will solve the equation 12+2(x-5)=15-3(x+1) step by step.
Step 1: Simplify the Left Side of the Equation
Let's start by simplifying the left side of the equation:
12 + 2(x - 5) = 12 + 2x - 10 (distribute the 2 to the terms inside the parentheses) = 2 + 2x (combine like terms)
So, the simplified left side of the equation is:
2 + 2x
Step 2: Simplify the Right Side of the Equation
Now, let's simplify the right side of the equation:
15 - 3(x + 1) = 15 - 3x - 3 (distribute the -3 to the terms inside the parentheses) = 12 - 3x (combine like terms)
So, the simplified right side of the equation is:
12 - 3x
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
2 + 2x = 12 - 3x
Step 4: Solve for x
To solve for x, we can add 3x to both sides of the equation:
2 + 2x + 3x = 12 - 3x + 3x 2 + 5x = 12
Subtract 2 from both sides:
5x = 10
Divide both sides by 5:
x = 10/5 x = 2
Therefore, the solution to the equation 12+2(x-5)=15-3(x+1) is x = 2.
Conclusion
In this article, we have successfully solved the equation 12+2(x-5)=15-3(x+1) using step-by-step algebraic manipulations. The solution to the equation is x = 2.
