Solve 8x − 10 = 38

The solution of 8x − 10 = 38 is x = 6.

8x - 10 = 38\ \Rightarrow\ x = 6

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The lines y = 8x − 10 and y = 38 meet at x = 6. 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.
$8x - 10 = 38$
2
Add 10 to both sides:
$8x - 10 + 10 = 38 + 10 \ \Rightarrow\ 8x = 48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$8\cdot6 - 10 = 48 - 10 = 38 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 10 = 38\ \Rightarrow\ x = 6 \]
\[ 8x - 10 = 38 \]
\[ 8x - 10 + 10 = 38 + 10 \ \Rightarrow\ 8x = 48 \]
\[ \frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6 \]
\[ 8\cdot6 - 10 = 48 - 10 = 38 \checkmark \]

Trying values of x in 8x − 10 = 38

x	8x − 10	Equals 38?
4	22	no
5	30	no
6	38	yes
7	46	no
8	54	no

Questions

What is x in 8x − 10 = 38?

The solution of 8x − 10 = 38 is x = 6.

How do you solve 8x − 10 = 38?

Add 10 to both sides to get 8x = 48, then divide both sides by 8 to get x = 6.

How do I check the answer?

Replace x by 6: 8(6) − 10 = 38, which is 38.

Solve 8x − 10 = 38

How to work it out

Trying values of x in 8x − 10 = 38

Questions

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