Solve 12x − 10 = 62

The solution of 12x − 10 = 62 is x = 6.

12x - 10 = 62\ \Rightarrow\ x = 6

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The lines y = 12x − 10 and y = 62 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.
$12x - 10 = 62$
2
Add 10 to both sides:
$12x - 10 + 10 = 62 + 10 \ \Rightarrow\ 12x = 72$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$12\cdot6 - 10 = 72 - 10 = 62 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = 62\ \Rightarrow\ x = 6 \]
\[ 12x - 10 = 62 \]
\[ 12x - 10 + 10 = 62 + 10 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 - 10 = 72 - 10 = 62 \checkmark \]

Trying values of x in 12x − 10 = 62

x	12x − 10	Equals 62?
4	38	no
5	50	no
6	62	yes
7	74	no
8	86	no

Questions

What is x in 12x − 10 = 62?

The solution of 12x − 10 = 62 is x = 6.

How do you solve 12x − 10 = 62?

Add 10 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) − 10 = 62, which is 62.

Solve 12x − 10 = 62

How to work it out

Trying values of x in 12x − 10 = 62

Questions

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