-3(x%2B1)%2B7(x%2B1)%3D44.jpeg "10+(x+1)-3(x+1)+7(x+1)=44")
Solving the Equation: 10+(x+1)-3(x+1)+7(x+1)=44
In this article, we will solve the equation 10+(x+1)-3(x+1)+7(x+1)=44 step by step.
Step 1: Combine like terms
First, let's combine the like terms on the left side of the equation:
10 + (x+1) - 3(x+1) + 7(x+1) = 44
Combine the like terms:
10 + x + 1 - 3x - 3 + 7x + 7 = 44
Step 2: Simplify the equation
Next, let's simplify the equation by combining the constant terms and the terms with the variable x:
10 - 3 + 7 + x - 3x + 7x = 44
Combine the constant terms:
14 + 5x = 44
Step 3: Solve for x
Now, let's solve for x by subtracting 14 from both sides of the equation:
5x = 44 - 14
5x = 30
Divide both sides by 5:
x = 30/5
x = 6
Answer
Therefore, the value of x is 6.
Check:
10 + (6+1) - 3(6+1) + 7(6+1) = ?
10 + 7 - 3(7) + 7(7) = ?
10 + 7 - 21 + 49 = ?
45 = 45
Yes, the equation is true when x = 6.
