Solve: 2(a+3) = 10+4(a-8)
Answer
a = 14
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 2(a+3) = 2a + 6
- Expand and simplify the right-hand side: 10+4(a-8) = 4a - 22
- Move every term to one side so the equation reads "...= 0": -2a + 28 = 0
- This is a linear equation of the form aa+b=0, with a=-2 and b=28.
- Solve for a: a = -b/a = -(28)/-2 = 14
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form aa+b=0 (a≠0), which has exactly one solution: a = -b/a.
Frequently Asked Questions
What is the solution to 2(a+3) = 10+4(a-8)?
a = 14.