Solve 11x + 6 = −71

The solution of 11x + 6 = −71 is x = -7.

11x + 6 = -71\ \Rightarrow\ x = -7

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The lines y = 11x + 6 and y = -71 meet at x = -7. 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.
$11x + 6 = -71$
2
Subtract 6 from both sides:
$11x + 6 - 6 = -71 - 6 \ \Rightarrow\ 11x = -77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$11\cdot(-7) + 6 = -77 + 6 = -71 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 6 = -71\ \Rightarrow\ x = -7 \]
\[ 11x + 6 = -71 \]
\[ 11x + 6 - 6 = -71 - 6 \ \Rightarrow\ 11x = -77 \]
\[ \frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7 \]
\[ 11\cdot(-7) + 6 = -77 + 6 = -71 \checkmark \]

Trying values of x in 11x + 6 = −71

x	11x + 6	Equals -71?
-9	-93	no
-8	-82	no
-7	-71	yes
-6	-60	no
-5	-49	no

Questions

What is x in 11x + 6 = −71?

The solution of 11x + 6 = −71 is x = -7.

How do you solve 11x + 6 = −71?

Subtract 6 from both sides to get 11x = -77, then divide both sides by 11 to get x = -7.

How do I check the answer?

Replace x by -7: 11(-7) + 6 = -71, which is -71.

Solve 11x + 6 = −71

How to work it out

Trying values of x in 11x + 6 = −71

Questions

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