Solve 11x + 3 = −52

The solution of 11x + 3 = −52 is x = -5.

11x + 3 = -52\ \Rightarrow\ x = -5

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The lines y = 11x + 3 and y = -52 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.
$11x + 3 = -52$
2
Subtract 3 from both sides:
$11x + 3 - 3 = -52 - 3 \ \Rightarrow\ 11x = -55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$11\cdot(-5) + 3 = -55 + 3 = -52 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 3 = -52\ \Rightarrow\ x = -5 \]
\[ 11x + 3 = -52 \]
\[ 11x + 3 - 3 = -52 - 3 \ \Rightarrow\ 11x = -55 \]
\[ \frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5 \]
\[ 11\cdot(-5) + 3 = -55 + 3 = -52 \checkmark \]

Trying values of x in 11x + 3 = −52

x	11x + 3	Equals -52?
-7	-74	no
-6	-63	no
-5	-52	yes
-4	-41	no
-3	-30	no

Questions

What is x in 11x + 3 = −52?

The solution of 11x + 3 = −52 is x = -5.

How do you solve 11x + 3 = −52?

Subtract 3 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) + 3 = -52, which is -52.

Solve 11x + 3 = −52

How to work it out

Trying values of x in 11x + 3 = −52

Questions

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