Solve 10x − 2 = 178

The solution of 10x − 2 = 178 is x = 18.

10x - 2 = 178\ \Rightarrow\ x = 18

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

The lines y = 10x − 2 and y = 178 meet at x = 18. 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.
$10x - 2 = 178$
2
Add 2 to both sides:
$10x - 2 + 2 = 178 + 2 \ \Rightarrow\ 10x = 180$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$10\cdot18 - 2 = 180 - 2 = 178 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 2 = 178\ \Rightarrow\ x = 18 \]
\[ 10x - 2 = 178 \]
\[ 10x - 2 + 2 = 178 + 2 \ \Rightarrow\ 10x = 180 \]
\[ \frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18 \]
\[ 10\cdot18 - 2 = 180 - 2 = 178 \checkmark \]

Trying values of x in 10x − 2 = 178

x	10x − 2	Equals 178?
16	158	no
17	168	no
18	178	yes
19	188	no
20	198	no

Questions

What is x in 10x − 2 = 178?

The solution of 10x − 2 = 178 is x = 18.

How do you solve 10x − 2 = 178?

Add 2 to both sides to get 10x = 180, then divide both sides by 10 to get x = 18.

How do I check the answer?

Replace x by 18: 10(18) − 2 = 178, which is 178.

Solve 10x − 2 = 178

How to work it out

Trying values of x in 10x − 2 = 178

Questions

Similar equations