Solve 12x − 2 = 70

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

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

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The lines y = 12x − 2 and y = 70 meet at x = 6. 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.
$12x - 2 = 70$
2
Add 2 to both sides:
$12x - 2 + 2 = 70 + 2 \ \Rightarrow\ 12x = 72$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$12\cdot6 - 2 = 72 - 2 = 70 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 2 = 70\ \Rightarrow\ x = 6 \]
\[ 12x - 2 = 70 \]
\[ 12x - 2 + 2 = 70 + 2 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 - 2 = 72 - 2 = 70 \checkmark \]

Trying values of x in 12x − 2 = 70

x	12x − 2	Equals 70?
4	46	no
5	58	no
6	70	yes
7	82	no
8	94	no

Questions

What is x in 12x − 2 = 70?

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

How do you solve 12x − 2 = 70?

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

How do I check the answer?

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

Solve 12x − 2 = 70

How to work it out

Trying values of x in 12x − 2 = 70

Questions

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