Solve 11x − 6 = 137

The solution of 11x − 6 = 137 is x = 13.

11x - 6 = 137\ \Rightarrow\ x = 13

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The lines y = 11x − 6 and y = 137 meet at x = 13. 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.
$11x - 6 = 137$
2
Add 6 to both sides:
$11x - 6 + 6 = 137 + 6 \ \Rightarrow\ 11x = 143$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$11\cdot13 - 6 = 143 - 6 = 137 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 6 = 137\ \Rightarrow\ x = 13 \]
\[ 11x - 6 = 137 \]
\[ 11x - 6 + 6 = 137 + 6 \ \Rightarrow\ 11x = 143 \]
\[ \frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13 \]
\[ 11\cdot13 - 6 = 143 - 6 = 137 \checkmark \]

Trying values of x in 11x − 6 = 137

x	11x − 6	Equals 137?
11	115	no
12	126	no
13	137	yes
14	148	no
15	159	no

Questions

What is x in 11x − 6 = 137?

The solution of 11x − 6 = 137 is x = 13.

How do you solve 11x − 6 = 137?

Add 6 to both sides to get 11x = 143, then divide both sides by 11 to get x = 13.

How do I check the answer?

Replace x by 13: 11(13) − 6 = 137, which is 137.

Solve 11x − 6 = 137

How to work it out

Trying values of x in 11x − 6 = 137

Questions

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