8=3a-4

1. Start with the equation: \(8 = 3a - 4\).
2. Add 4 to both sides: \(8 + 4 = 3a\).
3. Simplify: \(12 = 3a\).
4. Divide both sides by 3: \(a = \frac { 12} { 3} \).
5. Simplify: \(a = 4\).

Supplemental Knowledge

Solving linear equations involves finding the value of the variable that makes the equation true. Here are some key steps to solve a simple linear equation like \(8 = 3a - 4\):

1. Isolate the variable term:
   • Move all terms involving the variable to one side of the equation and constants to the other side.
2. Solve for the variable:
   • Perform arithmetic operations to isolate and solve for the variable.

Practical Insights

Imagine budgeting for a project where total expenses (8) must equal three multiples of certain cost (3a), less fixed costs (4). By solving this equation, you can determine how much each unit cost should be in order to remain within your budget.

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