Solve 10x − 2 = 8

The solution of 10x − 2 = 8 is x = 1.

10x - 2 = 8\ \Rightarrow\ x = 1

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The lines y = 10x − 2 and y = 8 meet at x = 1. 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.
$10x - 2 = 8$
2
Add 2 to both sides:
$10x - 2 + 2 = 8 + 2 \ \Rightarrow\ 10x = 10$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$10\cdot1 - 2 = 10 - 2 = 8 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 2 = 8\ \Rightarrow\ x = 1 \]
\[ 10x - 2 = 8 \]
\[ 10x - 2 + 2 = 8 + 2 \ \Rightarrow\ 10x = 10 \]
\[ \frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1 \]
\[ 10\cdot1 - 2 = 10 - 2 = 8 \checkmark \]

Trying values of x in 10x − 2 = 8

x	10x − 2	Equals 8?
-1	-12	no
0	-2	no
1	8	yes
2	18	no
3	28	no

Questions

What is x in 10x − 2 = 8?

The solution of 10x − 2 = 8 is x = 1.

How do you solve 10x − 2 = 8?

Add 2 to both sides to get 10x = 10, then divide both sides by 10 to get x = 1.

How do I check the answer?

Replace x by 1: 10(1) − 2 = 8, which is 8.

Solve 10x − 2 = 8

How to work it out

Trying values of x in 10x − 2 = 8

Questions

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