anonymous
  • anonymous
Having problems with multi step equations, solving for x, or in this case b, with two sided equations. How to do this? 8 - 2 x b = -2/3 x (12 x b + 6)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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texaschic101
  • texaschic101
8 - 2b = -2/3(12b + 6) --- Is this your problem ??
anonymous
  • anonymous
Yes
texaschic101
  • texaschic101
first we start on the right side and distribute the -2/3 through the parenthesis. Can you do that ?

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anonymous
  • anonymous
By distribute, you mean multiply?
anonymous
  • anonymous
8 - 2b = -2/3(12b + 6 that's how it goes
texaschic101
  • texaschic101
yes...multiply everything in the parenthesis by -2/3
anonymous
  • anonymous
How would you do this without using the variable?
netlopes1
  • netlopes1
\[8-2b=-\frac{2}{3}(12b+6) \rightarrow\]
netlopes1
  • netlopes1
is this?
anonymous
  • anonymous
I mean leaving it out, it would be -12.
anonymous
  • anonymous
Yes @netlopes1
texaschic101
  • texaschic101
8 - 2b = (-2/3) * 12b + (-2/3) * 6 8 - 2b = -24/3b - 12/3 ---- reduce when you can 8 - 2b = -8b - 4 are you still following this ??
anonymous
  • anonymous
Not completely, you replaced b with -2/3 :P
netlopes1
  • netlopes1
\[8-2b=-\frac{2}{3}.12b - \frac{2}{3}.6 \rightarrow\]
texaschic101
  • texaschic101
where you see that ?? I did not replace b with -2/3
netlopes1
  • netlopes1
This is a distributive rule, ok?
anonymous
  • anonymous
Ohh, you left b but added -2/3.
netlopes1
  • netlopes1
\[8-2b=-\frac{24b}{3}-\frac{12}{3}\rightarrow do\quad you\quad understand\quad?\]
texaschic101
  • texaschic101
to get rid of the parenthesis we use the distributive property...that means you take the number right before the parenthesis and multiply it by everything in the parenthesis. 8 - 2b = -2/3 (12b + 6) = 8 - 2b = (-2/3 * 12b) + (-2/3 * 6) = 8 - 2b = (-24/3)b + (-12/3) = 8 - 2b = -8b - 4 any better understand this ??
netlopes1
  • netlopes1
ok, texaschic101
netlopes1
  • netlopes1
\[finally,\quad 8-2b=-8b-4\rightarrow6b=-12\rightarrow b=-2\]
texaschic101
  • texaschic101
you understand ?
netlopes1
  • netlopes1
\[6-3b=-\frac{3}{2}(-4b+4) \rightarrow\]
netlopes1
  • netlopes1
If you understand, answer this equation, ok? It's the same "model", I mean.

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