Solve each equation. -4(2x-6) +8x= 5x+24+x

Question

Accepted Answer

Welcome back. I am so glad you're here. We are given this linear equation, we have negative three times parentheses, six X minus 17. And parentheses plus 18 X. That's all equal to eight X plus plus three X. And we are to solve this linear equation were to solve for X. So the first step here we are going to notice that we've got this negative three squished up in front of this parentheses with the six X minus 17 inside. Well that's telling us that we need to distribute that negative three. So step one here is to distribute the negative three negative three times six X equals a negative 18 X. And negative three times negative 17 equals a positive 51. Now we can bring down the rest, we can bring down this plus 18 X equals eight X plus 51 plus three X. And now we can combine like terms on the left hand side, we have this negative 18 X plus 18 X. Well negative 18 X plus 18 X zero X. Is so on the left hand side we only have 51. We can bring down the equals on the right hand side. We can combine like terms because we have this eight X plus the three X. And eight plus three gives us 11 X. S plus the 51 bringing that down. We want to get the X all by itself. So we can start by subtracting 51 from both sides. 51 is positive over there. And we get rid of it by subtracting it the opposite operation. So subtracting 51 from both sides. On the left, we have 51 minus 51 that equals zero. So we have zero equals 11 X. And then on the right hand side 51 minus 51 is zero. So we have zero equals 11 X. X. Is almost by itself. We just have that 11 being multiplied by it. So to undo that we do the opposite operation, 11 is being multiplied so we divide by 11. And what we do to one side, we do to the other side as well. 11 divided by 11 on the right hand side that cancels out that's a one X. Or just an X. So X is by itself. Yea zero divided by 11 on the left hand side. Well that equals zero so all that and we find out that X equals zero. We look at our answer choices and that matches with answer choice C. Well done. We'll catch you on the next one.

Solve each equation. -4(2x-6) +8x= 5x+24+x

Key Concepts

Distributive Property

Combining Like Terms

Solving Linear Equations

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