Solve 11x + 1 = −43

The solution of 11x + 1 = −43 is x = -4.

11x + 1 = -43\ \Rightarrow\ x = -4

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The lines y = 11x + 1 and y = -43 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 addition, then the multiplication.
$11x + 1 = -43$
2
Subtract 1 from both sides:
$11x + 1 - 1 = -43 - 1 \ \Rightarrow\ 11x = -44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$11\cdot(-4) + 1 = -44 + 1 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 1 = -43\ \Rightarrow\ x = -4 \]
\[ 11x + 1 = -43 \]
\[ 11x + 1 - 1 = -43 - 1 \ \Rightarrow\ 11x = -44 \]
\[ \frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4 \]
\[ 11\cdot(-4) + 1 = -44 + 1 = -43 \checkmark \]

Trying values of x in 11x + 1 = −43

x	11x + 1	Equals -43?
-6	-65	no
-5	-54	no
-4	-43	yes
-3	-32	no
-2	-21	no

Questions

What is x in 11x + 1 = −43?

The solution of 11x + 1 = −43 is x = -4.

How do you solve 11x + 1 = −43?

Subtract 1 from 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) + 1 = -43, which is -43.

Solve 11x + 1 = −43

How to work it out

Trying values of x in 11x + 1 = −43

Questions

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