Solve 7x − 6 = 120

The solution of 7x − 6 = 120 is x = 18.

7x - 6 = 120\ \Rightarrow\ x = 18

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The lines y = 7x − 6 and y = 120 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.
$7x - 6 = 120$
2
Add 6 to both sides:
$7x - 6 + 6 = 120 + 6 \ \Rightarrow\ 7x = 126$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{126}{7} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$7\cdot18 - 6 = 126 - 6 = 120 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = 120\ \Rightarrow\ x = 18 \]
\[ 7x - 6 = 120 \]
\[ 7x - 6 + 6 = 120 + 6 \ \Rightarrow\ 7x = 126 \]
\[ \frac{7x}{7} = \frac{126}{7} \ \Rightarrow\ x = 18 \]
\[ 7\cdot18 - 6 = 126 - 6 = 120 \checkmark \]

Trying values of x in 7x − 6 = 120

x	7x − 6	Equals 120?
16	106	no
17	113	no
18	120	yes
19	127	no
20	134	no

Questions

What is x in 7x − 6 = 120?

The solution of 7x − 6 = 120 is x = 18.

How do you solve 7x − 6 = 120?

Add 6 to both sides to get 7x = 126, then divide both sides by 7 to get x = 18.

How do I check the answer?

Replace x by 18: 7(18) − 6 = 120, which is 120.

Solve 7x − 6 = 120

How to work it out

Trying values of x in 7x − 6 = 120

Questions

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