Solve the Algebraic Equation: 5 + 3 + x + 2x + 1 = 0

5+3+x+2x+1=0 5+3+x+2x+1=0

x=? x=\text{?}

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Step-by-step video solution

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00:07 First, we need to find X.
00:11 Let's collect all the terms together.
00:20 Next, arrange the equation so X stands alone on one side.
00:32 Now, let's isolate X.
00:40 And that's how we solve this problem!

Step-by-step written solution

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1

Understand the problem

5+3+x+2x+1=0 5+3+x+2x+1=0

x=? x=\text{?}

2

Step-by-step solution

Let's solve the equation step by step:

  • First, we identify the terms in the equation: 55, 33, xx, 2x2x, and 11.
  • Combine like terms on the left side of the equation:
    • The constant terms: 5+3+1=95 + 3 + 1 = 9.
    • The terms with xx: x+2x=3xx + 2x = 3x.
  • Substitute back into the equation to get 9+3x=09 + 3x = 0.
  • Isolate the term containing xx by subtracting 9 from both sides: 3x=93x = -9.
  • Solve for xx by dividing both sides by 3: x=93x = \frac{-9}{3}.
  • Simplify the fraction: x=3x = -3.

Therefore, the solution to the equation is x=3 x = -3 .

3

Final Answer

3-

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\( x+x=8 \)

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