Solve 11x − 13 = −90

The solution of 11x − 13 = −90 is x = -7.

11x - 13 = -90\ \Rightarrow\ x = -7

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The lines y = 11x − 13 and y = -90 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 subtraction, then the multiplication.
$11x - 13 = -90$
2
Add 13 to both sides:
$11x - 13 + 13 = -90 + 13 \ \Rightarrow\ 11x = -77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$11\cdot(-7) - 13 = -77 - 13 = -90 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 13 = -90\ \Rightarrow\ x = -7 \]
\[ 11x - 13 = -90 \]
\[ 11x - 13 + 13 = -90 + 13 \ \Rightarrow\ 11x = -77 \]
\[ \frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7 \]
\[ 11\cdot(-7) - 13 = -77 - 13 = -90 \checkmark \]

Trying values of x in 11x − 13 = −90

x	11x − 13	Equals -90?
-9	-112	no
-8	-101	no
-7	-90	yes
-6	-79	no
-5	-68	no

Questions

What is x in 11x − 13 = −90?

The solution of 11x − 13 = −90 is x = -7.

How do you solve 11x − 13 = −90?

Add 13 to 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 = -90, which is -90.

Solve 11x − 13 = −90

How to work it out

Trying values of x in 11x − 13 = −90

Questions

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