%3D-x-10(-x%2B1).jpeg "10+10(x+3)=-x-10(-x+1)")
Solving the Equation: 10+10(x+3)=-x-10(-x+1)
In this article, we will solve the equation 10+10(x+3)=-x-10(-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:
10 + 10(x + 3)
= 10 + 10x + 30
= 40 + 10x
Step 2: Simplify the Right Side of the Equation
Now, let's simplify the right side of the equation:
-x - 10(-x + 1)
= -x + 10x - 10
= 9x - 10
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
40 + 10x = 9x - 10
Step 4: Solve for x
Let's solve for x by rearranging the equation:
10x - 9x = -10 - 40
-x = -50
x = 50
Conclusion
Therefore, the solution to the equation 10+10(x+3)=-x-10(-x+1) is x = 50.
