Solve 11x − 15 = −103

The solution of 11x − 15 = −103 is x = -8.

11x - 15 = -103\ \Rightarrow\ x = -8

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The lines y = 11x − 15 and y = -103 meet at x = -8. 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.
$11x - 15 = -103$
2
Add 15 to both sides:
$11x - 15 + 15 = -103 + 15 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) - 15 = -88 - 15 = -103 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 15 = -103\ \Rightarrow\ x = -8 \]
\[ 11x - 15 = -103 \]
\[ 11x - 15 + 15 = -103 + 15 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) - 15 = -88 - 15 = -103 \checkmark \]

Trying values of x in 11x − 15 = −103

x	11x − 15	Equals -103?
-10	-125	no
-9	-114	no
-8	-103	yes
-7	-92	no
-6	-81	no

Questions

What is x in 11x − 15 = −103?

The solution of 11x − 15 = −103 is x = -8.

How do you solve 11x − 15 = −103?

Add 15 to both sides to get 11x = -88, then divide both sides by 11 to get x = -8.

How do I check the answer?

Replace x by -8: 11(-8) − 15 = -103, which is -103.

Solve 11x − 15 = −103

How to work it out

Trying values of x in 11x − 15 = −103

Questions

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