Solve 11x − 14 = −3

The solution of 11x − 14 = −3 is x = 1.

11x - 14 = -3\ \Rightarrow\ x = 1

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The lines y = 11x − 14 and y = -3 meet at x = 1. 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.
$11x - 14 = -3$
2
Add 14 to both sides:
$11x - 14 + 14 = -3 + 14 \ \Rightarrow\ 11x = 11$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$11\cdot1 - 14 = 11 - 14 = -3 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 14 = -3\ \Rightarrow\ x = 1 \]
\[ 11x - 14 = -3 \]
\[ 11x - 14 + 14 = -3 + 14 \ \Rightarrow\ 11x = 11 \]
\[ \frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1 \]
\[ 11\cdot1 - 14 = 11 - 14 = -3 \checkmark \]

Trying values of x in 11x − 14 = −3

x	11x − 14	Equals -3?
-1	-25	no
0	-14	no
1	-3	yes
2	8	no
3	19	no

Questions

What is x in 11x − 14 = −3?

The solution of 11x − 14 = −3 is x = 1.

How do you solve 11x − 14 = −3?

Add 14 to both sides to get 11x = 11, then divide both sides by 11 to get x = 1.

How do I check the answer?

Replace x by 1: 11(1) − 14 = -3, which is -3.

Solve 11x − 14 = −3

How to work it out

Trying values of x in 11x − 14 = −3

Questions

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