Solve 12x − 10 = 170

The solution of 12x − 10 = 170 is x = 15.

12x - 10 = 170\ \Rightarrow\ x = 15

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The lines y = 12x − 10 and y = 170 meet at x = 15. 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.
$12x - 10 = 170$
2
Add 10 to both sides:
$12x - 10 + 10 = 170 + 10 \ \Rightarrow\ 12x = 180$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$12\cdot15 - 10 = 180 - 10 = 170 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = 170\ \Rightarrow\ x = 15 \]
\[ 12x - 10 = 170 \]
\[ 12x - 10 + 10 = 170 + 10 \ \Rightarrow\ 12x = 180 \]
\[ \frac{12x}{12} = \frac{180}{12} \ \Rightarrow\ x = 15 \]
\[ 12\cdot15 - 10 = 180 - 10 = 170 \checkmark \]

Trying values of x in 12x − 10 = 170

x	12x − 10	Equals 170?
13	146	no
14	158	no
15	170	yes
16	182	no
17	194	no

Questions

What is x in 12x − 10 = 170?

The solution of 12x − 10 = 170 is x = 15.

How do you solve 12x − 10 = 170?

Add 10 to both sides to get 12x = 180, then divide both sides by 12 to get x = 15.

How do I check the answer?

Replace x by 15: 12(15) − 10 = 170, which is 170.

Solve 12x − 10 = 170

How to work it out

Trying values of x in 12x − 10 = 170

Questions

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