Solve 6x − 11 = 97

The solution of 6x − 11 = 97 is x = 18.

6x - 11 = 97\ \Rightarrow\ x = 18

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The lines y = 6x − 11 and y = 97 meet at x = 18. 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.
$6x - 11 = 97$
2
Add 11 to both sides:
$6x - 11 + 11 = 97 + 11 \ \Rightarrow\ 6x = 108$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$6\cdot18 - 11 = 108 - 11 = 97 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 11 = 97\ \Rightarrow\ x = 18 \]
\[ 6x - 11 = 97 \]
\[ 6x - 11 + 11 = 97 + 11 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 - 11 = 108 - 11 = 97 \checkmark \]

Trying values of x in 6x − 11 = 97

x	6x − 11	Equals 97?
16	85	no
17	91	no
18	97	yes
19	103	no
20	109	no

Questions

What is x in 6x − 11 = 97?

The solution of 6x − 11 = 97 is x = 18.

How do you solve 6x − 11 = 97?

Add 11 to both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) − 11 = 97, which is 97.

Solve 6x − 11 = 97

How to work it out

Trying values of x in 6x − 11 = 97

Questions

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