Solve 6x + 7 = −41

The solution of 6x + 7 = −41 is x = -8.

6x + 7 = -41\ \Rightarrow\ x = -8

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The lines y = 6x + 7 and y = -41 meet at x = -8. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
$6x + 7 = -41$
2
Subtract 7 from both sides:
$6x + 7 - 7 = -41 - 7 \ \Rightarrow\ 6x = -48$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$6\cdot(-8) + 7 = -48 + 7 = -41 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 7 = -41\ \Rightarrow\ x = -8 \]
\[ 6x + 7 = -41 \]
\[ 6x + 7 - 7 = -41 - 7 \ \Rightarrow\ 6x = -48 \]
\[ \frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8 \]
\[ 6\cdot(-8) + 7 = -48 + 7 = -41 \checkmark \]

Trying values of x in 6x + 7 = −41

x	6x + 7	Equals -41?
-10	-53	no
-9	-47	no
-8	-41	yes
-7	-35	no
-6	-29	no

Questions

What is x in 6x + 7 = −41?

The solution of 6x + 7 = −41 is x = -8.

How do you solve 6x + 7 = −41?

Subtract 7 from both sides to get 6x = -48, then divide both sides by 6 to get x = -8.

How do I check the answer?

Replace x by -8: 6(-8) + 7 = -41, which is -41.

Solve 6x + 7 = −41

How to work it out

Trying values of x in 6x + 7 = −41

Questions

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