Solve 10x − 2 = 118

The solution of 10x − 2 = 118 is x = 12.

10x - 2 = 118\ \Rightarrow\ x = 12

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The lines y = 10x − 2 and y = 118 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.
$10x - 2 = 118$
2
Add 2 to both sides:
$10x - 2 + 2 = 118 + 2 \ \Rightarrow\ 10x = 120$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{120}{10} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$10\cdot12 - 2 = 120 - 2 = 118 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 2 = 118\ \Rightarrow\ x = 12 \]
\[ 10x - 2 = 118 \]
\[ 10x - 2 + 2 = 118 + 2 \ \Rightarrow\ 10x = 120 \]
\[ \frac{10x}{10} = \frac{120}{10} \ \Rightarrow\ x = 12 \]
\[ 10\cdot12 - 2 = 120 - 2 = 118 \checkmark \]

Trying values of x in 10x − 2 = 118

x	10x − 2	Equals 118?
10	98	no
11	108	no
12	118	yes
13	128	no
14	138	no

Questions

What is x in 10x − 2 = 118?

The solution of 10x − 2 = 118 is x = 12.

How do you solve 10x − 2 = 118?

Add 2 to both sides to get 10x = 120, then divide both sides by 10 to get x = 12.

How do I check the answer?

Replace x by 12: 10(12) − 2 = 118, which is 118.

Solve 10x − 2 = 118

How to work it out

Trying values of x in 10x − 2 = 118

Questions

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