Solve x/3 + x/6 = −3
Linear equation, worked out line by line the way a teacher would write it.
Answer
| Solution | x = −6 |
Step-by-step solution
4 steps-
1 Given\frac{x}{3} + \frac{x}{6} = -3
Solve for x.
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2 Combine like terms\frac{x}{2} = -3
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3 Multiply both sides by 2 to clear the fractions
2 is the least common multiple of the denominators. Multiplying every term on both sides by it cancels each fraction, so the rest of the work uses whole numbers. The equation stays balanced because both sides were multiplied by the same number.
x = -6 -
4 Check\begin{aligned}x = -6:\quad -3 = -3\quad\checkmark\end{aligned}
Substituting each solution back makes both sides equal.
Check by substitution
| x | Left side | Right side | |
|---|---|---|---|
| −6 | −3 | −3 | ✓ |
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