contestada

Please help me with this problem just wanted to be sure that I am correct in order to help my son to under stand the break down of this problem. I believe that the answer is -3 but I am not sure please help?Solve for x.14x−1/2(4x+6)=3(x−4)−18 Enter your answer in the box.x =

Please help me with this problem just wanted to be sure that I am correct in order to help my son to under stand the break down of this problem I believe that t class=

Respuesta :

SOLUTION

We want to solve for x in the equation

[tex]14x-\frac{1}{2}\mleft(4x+6\mright)=3\mleft(x-4\mright)-18[/tex]

First we expand the brackets in both sides of the equation, this becomes

[tex]\begin{gathered} 14x-\frac{1}{2}(4x+6)=3(x-4)-18 \\ 14x-2x-3=3x-12-18 \end{gathered}[/tex]

Note that the minus sign multiplies the items in the brackets too

Now, we collect like terms we have

[tex]\begin{gathered} 14x-2x-3x=-12-18+3 \\ 9x=-27 \\ \text{divide both sides by 9, we have } \\ \frac{9x}{9}=\frac{-27}{9} \\ x=-3 \end{gathered}[/tex]

Hence x = -3

Otras preguntas