Solve 11x + 12 = −54

The solution of 11x + 12 = −54 is x = -6.

11x + 12 = -54\ \Rightarrow\ x = -6

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The lines y = 11x + 12 and y = -54 meet at x = -6. 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.
$11x + 12 = -54$
2
Subtract 12 from both sides:
$11x + 12 - 12 = -54 - 12 \ \Rightarrow\ 11x = -66$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-66}{11} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$11\cdot(-6) + 12 = -66 + 12 = -54 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 12 = -54\ \Rightarrow\ x = -6 \]
\[ 11x + 12 = -54 \]
\[ 11x + 12 - 12 = -54 - 12 \ \Rightarrow\ 11x = -66 \]
\[ \frac{11x}{11} = \frac{-66}{11} \ \Rightarrow\ x = -6 \]
\[ 11\cdot(-6) + 12 = -66 + 12 = -54 \checkmark \]

Trying values of x in 11x + 12 = −54

x	11x + 12	Equals -54?
-8	-76	no
-7	-65	no
-6	-54	yes
-5	-43	no
-4	-32	no

Questions

What is x in 11x + 12 = −54?

The solution of 11x + 12 = −54 is x = -6.

How do you solve 11x + 12 = −54?

Subtract 12 from both sides to get 11x = -66, then divide both sides by 11 to get x = -6.

How do I check the answer?

Replace x by -6: 11(-6) + 12 = -54, which is -54.

Solve 11x + 12 = −54

How to work it out

Trying values of x in 11x + 12 = −54

Questions

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