Respuesta :

[tex]5(3w-2)-7=23[/tex]

To clear 'w' the first step is to take -7 to the other side of the equality sign. It goes with opposite sign, so possitive:

[tex]5(3w-2)=23+7[/tex]

Now 5 goes to the other side with opposite operation. Since it's multiplying it has to divide on the other side:

[tex]3w-2=\frac{23+7}{5}[/tex]

Now we have to take 2 to the other side with possitive sign:

[tex]3w=\frac{23+7}{5}+2[/tex]

Finally, 3 has to divide all the expression on the right side:

[tex]w=\frac{\frac{23+7}{5}+2}{3}[/tex]

And solve (you can also solve in the steps to make it easier):

[tex]w=\frac{\frac{30}{5}+2}{3}=\frac{6+2}{3}=\frac{8}{3}[/tex]

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