Solve 11x − 14 = −102

The solution of 11x − 14 = −102 is x = -8.

11x - 14 = -102\ \Rightarrow\ x = -8

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The lines y = 11x − 14 and y = -102 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.
$11x - 14 = -102$
2
Add 14 to both sides:
$11x - 14 + 14 = -102 + 14 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) - 14 = -88 - 14 = -102 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 14 = -102\ \Rightarrow\ x = -8 \]
\[ 11x - 14 = -102 \]
\[ 11x - 14 + 14 = -102 + 14 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) - 14 = -88 - 14 = -102 \checkmark \]

Trying values of x in 11x − 14 = −102

x	11x − 14	Equals -102?
-10	-124	no
-9	-113	no
-8	-102	yes
-7	-91	no
-6	-80	no

Questions

What is x in 11x − 14 = −102?

The solution of 11x − 14 = −102 is x = -8.

How do you solve 11x − 14 = −102?

Add 14 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) − 14 = -102, which is -102.

Solve 11x − 14 = −102

How to work it out

Trying values of x in 11x − 14 = −102

Questions

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