Solve for X in the Equation: 3(x-2)=4 | Linear Equation Practice

Solve for X:

3(x−2)=4 3(x-2)=4

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:03 Make sure to open parentheses properly, multiply by each factor
00:20 Positive times negative is always negative
00:26 Arrange the equation so that one side has only the unknown X
00:37 Group terms
00:42 Isolate X
00:51 Simplify what we can
00:56 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve for X:

3(x−2)=4 3(x-2)=4

2

Step-by-step solution

To solve the equation 3(x−2)=4 3(x-2) = 4 , we follow these detailed steps:

  • Step 1: Apply the distributive property to the left side of the equation. This means multiplying 3 by each term within the parentheses.
  • Step 2: Expand 3(x−2) 3(x-2) to get 3x−6 3x - 6 .
  • Step 3: The equation is now 3x−6=4 3x - 6 = 4 .
  • Step 4: To isolate the term containing x x , add 6 to both sides of the equation. This yields 3x−6+6=4+6 3x - 6 + 6 = 4 + 6 , simplifying to 3x=10 3x = 10 .
  • Step 5: Divide both sides of the equation by 3 to solve for x x . So, x=103 x = \frac{10}{3} .

Therefore, the solution to the problem is x=103 x = \frac{10}{3} .

3

Final Answer

103 \frac{10}{3}

Practice Quiz

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Solve for X:

\( x - 3 + 5 = 8 - 2 \)

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