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

Question

anonymous · Answer

x=-14/11

the_fizicx99 · Answer

@RobertoTB Stop giving out answers.

anonymous · Answer

We're going to use the distributive property a bunch of times here.
3(x -2) +4(2x -6)  =  6(x -4) +8(2x +1)

Let's break it down by each term.
3(x -2) can be rewritten as x*3 -2*3. This simplifies to 3x -6.
4(2x -6) can be rewritten as 2x*4 -6*4. This simplifies to 8x -24.
6(x -4) can be rewritten as x*6 -4*6. This simplifies to 6x -24.
8(2x +1) can be rewritten as 2x*8 +1*8. This simplifies to 16x +8.

Let's put these back into the original equation.
3x -6 +8x -24  =  6x -24 +16x +8
Now, we can combine like terms (the ones with the same variable attached; in this case, either x or no variable).

-3x -6 +8x -24  =  6x -24 +16x +8
-3x +8x -6 -24  =  6x +16x -24 +8
5x -30  = 22x -16

Now, you can use regular algebra to isolate x. ("Do the opposite to the opposite!")