Solve 6x − 7 = 11

The solution of 6x − 7 = 11 is x = 3.

6x - 7 = 11\ \Rightarrow\ x = 3

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The lines y = 6x − 7 and y = 11 meet at x = 3. 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.
$6x - 7 = 11$
2
Add 7 to both sides:
$6x - 7 + 7 = 11 + 7 \ \Rightarrow\ 6x = 18$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$6\cdot3 - 7 = 18 - 7 = 11 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 7 = 11\ \Rightarrow\ x = 3 \]
\[ 6x - 7 = 11 \]
\[ 6x - 7 + 7 = 11 + 7 \ \Rightarrow\ 6x = 18 \]
\[ \frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3 \]
\[ 6\cdot3 - 7 = 18 - 7 = 11 \checkmark \]

Trying values of x in 6x − 7 = 11

x	6x − 7	Equals 11?
1	-1	no
2	5	no
3	11	yes
4	17	no
5	23	no

Questions

What is x in 6x − 7 = 11?

The solution of 6x − 7 = 11 is x = 3.

How do you solve 6x − 7 = 11?

Add 7 to both sides to get 6x = 18, then divide both sides by 6 to get x = 3.

How do I check the answer?

Replace x by 3: 6(3) − 7 = 11, which is 11.

Solve 6x − 7 = 11

How to work it out

Trying values of x in 6x − 7 = 11

Questions

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