Solve 6x − 7 = 5

The solution of 6x − 7 = 5 is x = 2.

6x - 7 = 5\ \Rightarrow\ x = 2

Explain it step by step in chat Make a short video of it

The lines y = 6x − 7 and y = 5 meet at x = 2. 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.
$6x - 7 = 5$
2
Add 7 to both sides:
$6x - 7 + 7 = 5 + 7 \ \Rightarrow\ 6x = 12$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$6\cdot2 - 7 = 12 - 7 = 5 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 7 = 5\ \Rightarrow\ x = 2 \]
\[ 6x - 7 = 5 \]
\[ 6x - 7 + 7 = 5 + 7 \ \Rightarrow\ 6x = 12 \]
\[ \frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2 \]
\[ 6\cdot2 - 7 = 12 - 7 = 5 \checkmark \]

Trying values of x in 6x − 7 = 5

x	6x − 7	Equals 5?
0	-7	no
1	-1	no
2	5	yes
3	11	no
4	17	no

Questions

What is x in 6x − 7 = 5?

The solution of 6x − 7 = 5 is x = 2.

How do you solve 6x − 7 = 5?

Add 7 to both sides to get 6x = 12, then divide both sides by 6 to get x = 2.

How do I check the answer?

Replace x by 2: 6(2) − 7 = 5, which is 5.

Solve 6x − 7 = 5

How to work it out

Trying values of x in 6x − 7 = 5

Questions

Similar equations