Answer:
To solve this equation, we need to find the value of x that makes the equation true. First, we can isolate the absolute value expression on one side of the equation by subtracting 4 from both sides:
|7-x| = 2x + 1
Next, we need to consider two cases: one in which the expression inside the absolute value is positive, and one in which it is negative.
If the expression inside the absolute value is positive, then the absolute value is equal to the expression itself. In this case, we can substitute the expression back into the equation:
7-x = 2x + 1
Solving this equation, we find that x = -1.
If the expression inside the absolute value is negative, then the absolute value is equal to the opposite of the expression. In this case, we can substitute the opposite of the expression back into the equation:
-(7-x) = 2x + 1
Solving this equation, we find that x = 3.
Therefore, the value of x that makes the equation |7-x|+ 4 = 2x + 5 true is x = 3.
Explanation: