Solve 11x + 2 = −42

The solution of 11x + 2 = −42 is x = -4.

11x + 2 = -42\ \Rightarrow\ x = -4

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The lines y = 11x + 2 and y = -42 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.
$11x + 2 = -42$
2
Subtract 2 from both sides:
$11x + 2 - 2 = -42 - 2 \ \Rightarrow\ 11x = -44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$11\cdot(-4) + 2 = -44 + 2 = -42 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 2 = -42\ \Rightarrow\ x = -4 \]
\[ 11x + 2 = -42 \]
\[ 11x + 2 - 2 = -42 - 2 \ \Rightarrow\ 11x = -44 \]
\[ \frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4 \]
\[ 11\cdot(-4) + 2 = -44 + 2 = -42 \checkmark \]

Trying values of x in 11x + 2 = −42

x	11x + 2	Equals -42?
-6	-64	no
-5	-53	no
-4	-42	yes
-3	-31	no
-2	-20	no

Questions

What is x in 11x + 2 = −42?

The solution of 11x + 2 = −42 is x = -4.

How do you solve 11x + 2 = −42?

Subtract 2 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) + 2 = -42, which is -42.

Solve 11x + 2 = −42

How to work it out

Trying values of x in 11x + 2 = −42

Questions

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