7x – 3(x + 2) = 2(x + 4)

7x – 3(x + 2) = 2(x + 4)

 

\(7x – 3(x + 2) = 2(x + 4)\\ 7x + \;\;\;– 3(x + 2) = 2(x + 4)\\ 7x + \;\;\;– 3*x + -3*2 = 2*x +2* 4\\ 7x + \;\;\;– 3x + -6 = 2x +8\\ \qquad 7x -3x -6 = 2x +8\\ \qquad \qquad 4x -6 = 2x +8\\ \qquad 4x -6-2x = 2x +8-2x\\ \qquad \qquad \;\;2x -6 = 8\\ \qquad \quad 2x -6+6 = 8+6\\ \qquad \qquad \qquad \;\;2x = 14\\ \qquad \qquad \qquad \;\;\;x = 7\\\)

 

checked

LHS=49-3(9)=49-27=22

RHS=2(11)=22=LHS     excellent :))