Solve: 19-3d = 4-4d
Answer
d = -15
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 19-3d = -3d + 19
- Expand and simplify the right-hand side: 4-4d = -4d + 4
- Move every term to one side so the equation reads "...= 0": d + 15 = 0
- This is a linear equation of the form ad+b=0, with a=1 and b=15.
- Solve for d: d = -b/a = -(15)/1 = -15
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form ad+b=0 (a≠0), which has exactly one solution: d = -b/a.
Frequently Asked Questions
What is the solution to 19-3d = 4-4d?
d = -15.