Solve 7 − 6x = −41
Linear equation, worked out line by line the way a teacher would write it.
Answer
| Solution | x = 8 |
Step-by-step solution
5 steps-
1 Given7 - 6 x = -41
Solve for x.
-
2 Subtract 7 from both sides
An equation stays true as long as you do the same thing to both sides, like adding the same weight to both pans of a balance. Adding or subtracting the same amount on both sides moves a term to the other side, where it appears with the opposite sign.
- 6 x = -48Move the constant terms to the right.
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3 Divide both sides by -6
Dividing both sides by -6 undoes the multiplication by -6, so the variable is left on its own. Both sides change in the same way, so the equation stays true (dividing by 0 is the one thing that is never allowed).
x = \frac{-48}{-6} -
4 Simplifyx = 8
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5 Check\begin{aligned}x = 8:\quad -41 = -41\quad\checkmark\end{aligned}
Substituting each solution back makes both sides equal.
Check by substitution
| x | Left side | Right side | |
|---|---|---|---|
| 8 | −41 | −41 | ✓ |
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