Solve for X: -9(2-x) = (x+4)×3 Linear Equation Challenge

Solve for x:

−9(2−x)=(x+4)⋅3 -9(2-x)=(x+4)\cdot3

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's begin by finding X. Ready? Here we go!
00:12 First, open the parentheses and multiply each term. Take your time!
00:33 Next, arrange the equation so that only the X is on one side. Great job so far!
00:48 Now, let's collect like terms together. Almost there!
00:53 Finally, isolate X to find the answer. You’re doing amazing!
01:01 And that's how we solve this problem! Well done!

Step-by-step written solution

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1

Understand the problem

Solve for x:

−9(2−x)=(x+4)⋅3 -9(2-x)=(x+4)\cdot3

2

Step-by-step solution

We open the parentheses in both sections by the distributive property and use the formula:

a(x+b)=ax+ab a(x+b)=ax+ab

−18+9x=3x+12 -18+9x=3x+12

We move 3X to the left section, and 18 to the right section and maintain the corresponding signs:

9x−3x=12+18 9x-3x=12+18

We add the terms:

6x=30 6x=30

We divide both sections by 6:

6x6=306 \frac{6x}{6}=\frac{30}{6}

x=5 x=5

3

Final Answer

5

Practice Quiz

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Solve for x:

\( 2(4-x)=8 \)

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