Solve 6x − 2 = 70

The solution of 6x − 2 = 70 is x = 12.

6x - 2 = 70\ \Rightarrow\ x = 12

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

The lines y = 6x − 2 and y = 70 meet at x = 12. 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.
$6x - 2 = 70$
2
Add 2 to both sides:
$6x - 2 + 2 = 70 + 2 \ \Rightarrow\ 6x = 72$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$6\cdot12 - 2 = 72 - 2 = 70 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 2 = 70\ \Rightarrow\ x = 12 \]
\[ 6x - 2 = 70 \]
\[ 6x - 2 + 2 = 70 + 2 \ \Rightarrow\ 6x = 72 \]
\[ \frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12 \]
\[ 6\cdot12 - 2 = 72 - 2 = 70 \checkmark \]

Trying values of x in 6x − 2 = 70

x	6x − 2	Equals 70?
10	58	no
11	64	no
12	70	yes
13	76	no
14	82	no

Questions

What is x in 6x − 2 = 70?

The solution of 6x − 2 = 70 is x = 12.

How do you solve 6x − 2 = 70?

Add 2 to both sides to get 6x = 72, then divide both sides by 6 to get x = 12.

How do I check the answer?

Replace x by 12: 6(12) − 2 = 70, which is 70.

Solve 6x − 2 = 70

How to work it out

Trying values of x in 6x − 2 = 70

Questions

Similar equations