Solve 11x + 2 = −53

The solution of 11x + 2 = −53 is x = -5.

11x + 2 = -53\ \Rightarrow\ x = -5

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The lines y = 11x + 2 and y = -53 meet at x = -5. 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.
$11x + 2 = -53$
2
Subtract 2 from both sides:
$11x + 2 - 2 = -53 - 2 \ \Rightarrow\ 11x = -55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$11\cdot(-5) + 2 = -55 + 2 = -53 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 2 = -53\ \Rightarrow\ x = -5 \]
\[ 11x + 2 = -53 \]
\[ 11x + 2 - 2 = -53 - 2 \ \Rightarrow\ 11x = -55 \]
\[ \frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5 \]
\[ 11\cdot(-5) + 2 = -55 + 2 = -53 \checkmark \]

Trying values of x in 11x + 2 = −53

x	11x + 2	Equals -53?
-7	-75	no
-6	-64	no
-5	-53	yes
-4	-42	no
-3	-31	no

Questions

What is x in 11x + 2 = −53?

The solution of 11x + 2 = −53 is x = -5.

How do you solve 11x + 2 = −53?

Subtract 2 from both sides to get 11x = -55, then divide both sides by 11 to get x = -5.

How do I check the answer?

Replace x by -5: 11(-5) + 2 = -53, which is -53.

Solve 11x + 2 = −53

How to work it out

Trying values of x in 11x + 2 = −53

Questions

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