Solve 8x − 10 = 62

The solution of 8x − 10 = 62 is x = 9.

8x - 10 = 62\ \Rightarrow\ x = 9

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The lines y = 8x − 10 and y = 62 meet at x = 9. 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.
$8x - 10 = 62$
2
Add 10 to both sides:
$8x - 10 + 10 = 62 + 10 \ \Rightarrow\ 8x = 72$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$8\cdot9 - 10 = 72 - 10 = 62 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 10 = 62\ \Rightarrow\ x = 9 \]
\[ 8x - 10 = 62 \]
\[ 8x - 10 + 10 = 62 + 10 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 - 10 = 72 - 10 = 62 \checkmark \]

Trying values of x in 8x − 10 = 62

x	8x − 10	Equals 62?
7	46	no
8	54	no
9	62	yes
10	70	no
11	78	no

Questions

What is x in 8x − 10 = 62?

The solution of 8x − 10 = 62 is x = 9.

How do you solve 8x − 10 = 62?

Add 10 to both sides to get 8x = 72, then divide both sides by 8 to get x = 9.

How do I check the answer?

Replace x by 9: 8(9) − 10 = 62, which is 62.

Solve 8x − 10 = 62

How to work it out

Trying values of x in 8x − 10 = 62

Questions

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