Solve 6x + 11 = −31

The solution of 6x + 11 = −31 is x = -7.

6x + 11 = -31\ \Rightarrow\ x = -7

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The lines y = 6x + 11 and y = -31 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.
$6x + 11 = -31$
2
Subtract 11 from both sides:
$6x + 11 - 11 = -31 - 11 \ \Rightarrow\ 6x = -42$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$6\cdot(-7) + 11 = -42 + 11 = -31 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 11 = -31\ \Rightarrow\ x = -7 \]
\[ 6x + 11 = -31 \]
\[ 6x + 11 - 11 = -31 - 11 \ \Rightarrow\ 6x = -42 \]
\[ \frac{6x}{6} = \frac{-42}{6} \ \Rightarrow\ x = -7 \]
\[ 6\cdot(-7) + 11 = -42 + 11 = -31 \checkmark \]

Trying values of x in 6x + 11 = −31

x	6x + 11	Equals -31?
-9	-43	no
-8	-37	no
-7	-31	yes
-6	-25	no
-5	-19	no

Questions

What is x in 6x + 11 = −31?

The solution of 6x + 11 = −31 is x = -7.

How do you solve 6x + 11 = −31?

Subtract 11 from both sides to get 6x = -42, then divide both sides by 6 to get x = -7.

How do I check the answer?

Replace x by -7: 6(-7) + 11 = -31, which is -31.

Solve 6x + 11 = −31

How to work it out

Trying values of x in 6x + 11 = −31

Questions

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