Solve 6x − 7 = 107

The solution of 6x − 7 = 107 is x = 19.

6x - 7 = 107\ \Rightarrow\ x = 19

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

The lines y = 6x − 7 and y = 107 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.
$6x - 7 = 107$
2
Add 7 to both sides:
$6x - 7 + 7 = 107 + 7 \ \Rightarrow\ 6x = 114$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$6\cdot19 - 7 = 114 - 7 = 107 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 7 = 107\ \Rightarrow\ x = 19 \]
\[ 6x - 7 = 107 \]
\[ 6x - 7 + 7 = 107 + 7 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 - 7 = 114 - 7 = 107 \checkmark \]

Trying values of x in 6x − 7 = 107

x	6x − 7	Equals 107?
17	95	no
18	101	no
19	107	yes
20	113	no
21	119	no

Questions

What is x in 6x − 7 = 107?

The solution of 6x − 7 = 107 is x = 19.

How do you solve 6x − 7 = 107?

Add 7 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) − 7 = 107, which is 107.

Solve 6x − 7 = 107

How to work it out

Trying values of x in 6x − 7 = 107

Questions

Similar equations