x = 2

To solve the equation, you need to set both functions equal to each other and simplify to find the value of “x”.

f(x) = 2x + 1

g(x) = -x + 7

f(x) = g(x)                                              <—– Given equation

2x + 1 = -x + 7                                      <—– Insert functions

3x + 1 = 7                                             <—– Add “x” to both sides

3x = 6                                                  <—– Subtract 1 from both sides

x = 2                                                    <—– Divide both sides by 3