Explanation:
To solve the given equations, let's solve them one by one:
Equation 1: x + 7 = 9 + 3x
First, we'll simplify the equation:
x + 7 = 9 + 3x
Let's move all the terms involving x to one side of the equation by subtracting x from both sides:
7 = 9 + 2x
Next, we'll isolate the term with x by subtracting 9 from both sides:
7 - 9 = 2x
-2 = 2x
Now, divide both sides by 2 to solve for x:
-2/2 = 2x/2
-1 = x
Therefore, the solution to Equation 1 is x = -1.
Equation 2: 7*(x-1) = 3x - 4
First, distribute the 7 on the left side:
7x - 7 = 3x - 4
Next, let's move all the terms involving x to one side of the equation:
7x - 3x = -4 + 7
4x = 3
Now, divide both sides by 4 to solve for x:
4x/4 = 3/4
x = 3/4
Therefore, the solution to Equation 2 is x = 3/4.