Solve 11x + 13 = −64

The solution of 11x + 13 = −64 is x = -7.

11x + 13 = -64\ \Rightarrow\ x = -7

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The lines y = 11x + 13 and y = -64 meet at x = -7. 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.
$11x + 13 = -64$
2
Subtract 13 from both sides:
$11x + 13 - 13 = -64 - 13 \ \Rightarrow\ 11x = -77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$11\cdot(-7) + 13 = -77 + 13 = -64 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 13 = -64\ \Rightarrow\ x = -7 \]
\[ 11x + 13 = -64 \]
\[ 11x + 13 - 13 = -64 - 13 \ \Rightarrow\ 11x = -77 \]
\[ \frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7 \]
\[ 11\cdot(-7) + 13 = -77 + 13 = -64 \checkmark \]

Trying values of x in 11x + 13 = −64

x	11x + 13	Equals -64?
-9	-86	no
-8	-75	no
-7	-64	yes
-6	-53	no
-5	-42	no

Questions

What is x in 11x + 13 = −64?

The solution of 11x + 13 = −64 is x = -7.

How do you solve 11x + 13 = −64?

Subtract 13 from both sides to get 11x = -77, then divide both sides by 11 to get x = -7.

How do I check the answer?

Replace x by -7: 11(-7) + 13 = -64, which is -64.

Solve 11x + 13 = −64

How to work it out

Trying values of x in 11x + 13 = −64

Questions

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