3(x - 2) + 4(2x - 6) = 6(x - 4) + 8(2x + 1)

Question

wherearemytacos · Answer

What are you confused about?

chasebraves · Answer

how to do it

aihberkhan · Answer

Okay this is very simply but very long, but I think I can help you out :)

@chasebraves

chasebraves · Answer

thanks

aihberkhan · Answer

So first you want to distribute $3(x-2)$, when you do distribute it you should get $3x - 6$

aihberkhan · Answer

So now your equation would look like $3x - 6 + 4(2x - 6) = 6(x - 4) + 8(2x + 1)$

aihberkhan · Answer

Next, we have to distribute $4(2x-6)$, when you distribute you should get $8x - 24$

aihberkhan · Answer

So now your equation should look like $3x - 6 + 8x - 24 = 6(x - 4) + 8(2x + 1)$

chasebraves · Answer

ok

aihberkhan · Answer

So now that was just to give you an idea... now let me teach you ALL of it in a different away at once :)

aihberkhan · Answer

First you have to simplify $3(x + -2) + 4(2x + -6) = 6(x + -4) + 8(2x + 1)$

Now lets try to reorder all of the terms $3(-2 + x) + 4(2x + -6) = 6(x + -4) + 8(2x + 1)$

$(-2 * 3 + x * 3) + 4(2x + -6) = 6(x + -4) + 8(2x + 1)$

$(-6 + 3x) + 4(2x + -6) = 6(x + -4) + 8(2x + 1)$

We are not finished though. You want to keep reordering as much as you can $(-6 + 3x + 4(-6 + 2x) = 6(x + -4) + 8(2x + 1)$

$-6 + 3x + (-6 * 4 + 2x * 4) = 6(x + -4) + 8(2x + 1)$

$-6 + 3x + (-24 + 8x) = 6(x + -4) + 8(2x + 1)$

$-6 + -24 + 3x + 8x = 6(x + -4) + 8(2x + 1)$

Now you want to combine the like terms $ -6 + -24 = -30$

That would become $-30 + 3x + 8x = 6(x + -4) + 8(2x + 1)$

$3x + 8x = 11x$

That would become $-30 + 11x = 6(x + -4) + 8(2x + 1)$

Putting it all together: $-30 + 11x = 6(-4 + x) + 8(2x + 1)$

$-30 + 11x = (-4 * 6 + x * 6) + 8(2x + 1)$

$-30 + 11x = (-24 + 6x) + 8(2x + 1)$

Now you keep following the steps until you can't simplify or reorder anymore. Then, you want to divide each side by $-11$

This would give you $x = -1.272727273$

aihberkhan · Answer

So the final answer is $x = -1.272727273$

aihberkhan · Answer

Hope this helped! Have a great day! :)

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@chasebraves

chasebraves · Answer

ok thanks