Solve 11x − 12 = −56

The solution of 11x − 12 = −56 is x = -4.

11x - 12 = -56\ \Rightarrow\ x = -4

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The lines y = 11x − 12 and y = -56 meet at x = -4. 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 subtraction, then the multiplication.
$11x - 12 = -56$
2
Add 12 to both sides:
$11x - 12 + 12 = -56 + 12 \ \Rightarrow\ 11x = -44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$11\cdot(-4) - 12 = -44 - 12 = -56 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = -56\ \Rightarrow\ x = -4 \]
\[ 11x - 12 = -56 \]
\[ 11x - 12 + 12 = -56 + 12 \ \Rightarrow\ 11x = -44 \]
\[ \frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4 \]
\[ 11\cdot(-4) - 12 = -44 - 12 = -56 \checkmark \]

Trying values of x in 11x − 12 = −56

x	11x − 12	Equals -56?
-6	-78	no
-5	-67	no
-4	-56	yes
-3	-45	no
-2	-34	no

Questions

What is x in 11x − 12 = −56?

The solution of 11x − 12 = −56 is x = -4.

How do you solve 11x − 12 = −56?

Add 12 to both sides to get 11x = -44, then divide both sides by 11 to get x = -4.

How do I check the answer?

Replace x by -4: 11(-4) − 12 = -56, which is -56.

Solve 11x − 12 = −56

How to work it out

Trying values of x in 11x − 12 = −56

Questions

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