Solve 6x − 11 = 103

The solution of 6x − 11 = 103 is x = 19.

6x - 11 = 103\ \Rightarrow\ x = 19

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The lines y = 6x − 11 and y = 103 meet at x = 19. 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.
$6x - 11 = 103$
2
Add 11 to both sides:
$6x - 11 + 11 = 103 + 11 \ \Rightarrow\ 6x = 114$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$6\cdot19 - 11 = 114 - 11 = 103 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 11 = 103\ \Rightarrow\ x = 19 \]
\[ 6x - 11 = 103 \]
\[ 6x - 11 + 11 = 103 + 11 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 - 11 = 114 - 11 = 103 \checkmark \]

Trying values of x in 6x − 11 = 103

x	6x − 11	Equals 103?
17	91	no
18	97	no
19	103	yes
20	109	no
21	115	no

Questions

What is x in 6x − 11 = 103?

The solution of 6x − 11 = 103 is x = 19.

How do you solve 6x − 11 = 103?

Add 11 to both sides to get 6x = 114, then divide both sides by 6 to get x = 19.

How do I check the answer?

Replace x by 19: 6(19) − 11 = 103, which is 103.

Solve 6x − 11 = 103

How to work it out

Trying values of x in 6x − 11 = 103

Questions

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