Solve for X in the Linear Equation: 2(4-x)=8

Question

Solve for x:

2(4x)=8 2(4-x)=8

Video Solution

Solution Steps

00:00 Determine X
00:04 Open the brackets by multiplying by each factor
00:13 Arrange the equation so that the unknown X is only on one side
00:21 Collect like terms
00:26 Isolate X
00:32 Here is the solution

Step-by-Step Solution

To solve this equation, follow these steps:

  • Step 1: Apply the distributive property to the equation:

    2(4x)=2×42×x=82x 2(4-x) = 2 \times 4 - 2 \times x = 8 - 2x

  • Step 2: Simplify the equation:

    The equation now becomes: 82x=88 - 2x = 8

  • Step 3: Isolate the variable xx by simplifying the equation:

    First, subtract 8 from both sides:
    82x8=88 8 - 2x - 8 = 8 - 8
    This simplifies to:
    2x=0-2x = 0

  • Step 4: Solve for xx by dividing both sides by -2:

    x=02=0 x = \frac{0}{-2} = 0

Therefore, the solution to the equation is x=0x = 0.

Answer

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