Solving Linear Equation: Finding X in 5.214 - 3.24X = -4.51

Solve for X:

5.214−3.24x=−4.51 5.214-3.24x=-4.51

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We want to isolate the unknown X
00:08 Let's arrange the equation so that one side has only the unknown X
00:28 Let's simplify what we can
00:41 Let's isolate the unknown X and calculate
00:52 Let's simplify what we can
00:59 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve for X:

5.214−3.24x=−4.51 5.214-3.24x=-4.51

2

Step-by-step solution

To solve the equation 5.214−3.24x=−4.515.214 - 3.24x = -4.51, we begin by isolating the term with the variable.

  • Step 1: Move the constant term on the left side to the right side of the equation. Subtract 5.214 from both sides:

5.214−3.24x−5.214=−4.51−5.214 5.214 - 3.24x - 5.214 = -4.51 - 5.214

This simplifies to:

−3.24x=−9.724 -3.24x = -9.724

  • Step 2: Solve for xx by dividing both sides by the coefficient of xx, which is -3.24:

x=−9.724−3.24 x = \frac{-9.724}{-3.24}

Perform the division:

x=3.001 x = 3.001

Thus, the solution to the equation is x=3.001 x = 3.001 , aligning with the correct choice given the options.

3

Final Answer

3.001

Practice Quiz

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Solve for X:

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

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