Solving a Simple Equation: Find X in 3x - 5 = 4x + 11

Solve for X:

3x5=4x+11 3x-5=4x+11

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:03 Let's arrange the equation so that one side has only the unknown X
00:24 Collect like terms
00:29 Convert from negative to positive
00:37 Negative divided by negative always equals positive
00:40 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve for X:

3x5=4x+11 3x-5=4x+11

2

Step-by-step solution

To solve this problem, we will follow a series of algebraic steps:

  • Step 1: Begin with the equation 3x5=4x+11 3x - 5 = 4x + 11 .
  • Step 2: Subtract 3x 3x from both sides to start isolating the variable x x on one side:
    5=4x3x+11-5 = 4x - 3x + 11.
  • Step 3: Simplify the right side:
    5=x+11-5 = x + 11.
  • Step 4: Subtract 11 from both sides to isolate x x :
    511=x-5 - 11 = x.
  • Step 5: Simplify the left side:
    16=x-16 = x.

Thus, the solution to the problem is x=16 x = -16 .

3

Final Answer

-16

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\( x+x=8 \)

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