Solve Linear Equation: 3x+4+x+1=9 Step-by-Step

Question

3x+4+x+1=9 3x+4+x+1=9

Video Solution

Solution Steps

00:00 Solve
00:04 Collect like terms
00:09 We want to isolate the unknown X
00:12 Let's arrange the equation so that one side has only the unknown X
00:24 Collect like terms
00:28 We'll isolate the unknown X and calculate
00:36 And this is the solution to the question

Step-by-Step Solution

To solve the given equation 3x+4+x+1=93x + 4 + x + 1 = 9, we'll proceed step-by-step:

  • Step 1: Combine like terms on the left side
    Combine the terms with xx: 3x+x=4x3x + x = 4x.
    Combine the constant terms: 4+1=54 + 1 = 5.
    The equation becomes 4x+5=94x + 5 = 9.
  • Step 2: Isolate the variable xx
    Subtract 5 from both sides to move the constant term to the right side:
    4x+55=954x + 5 - 5 = 9 - 5, which simplifies to 4x=44x = 4.
  • Step 3: Solve for xx
    Divide both sides by 4 to solve for xx:
    4x4=44\frac{4x}{4} = \frac{4}{4}, which simplifies to x=1x = 1.

Therefore, the solution to the equation is x=1x = 1.

Answer

x=1 x=1