Solve 4x − 10 = 22

The solution of 4x − 10 = 22 is x = 8.

4x - 10 = 22\ \Rightarrow\ x = 8

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The lines y = 4x − 10 and y = 22 meet at x = 8. 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.
$4x - 10 = 22$
2
Add 10 to both sides:
$4x - 10 + 10 = 22 + 10 \ \Rightarrow\ 4x = 32$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$4\cdot8 - 10 = 32 - 10 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 10 = 22\ \Rightarrow\ x = 8 \]
\[ 4x - 10 = 22 \]
\[ 4x - 10 + 10 = 22 + 10 \ \Rightarrow\ 4x = 32 \]
\[ \frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8 \]
\[ 4\cdot8 - 10 = 32 - 10 = 22 \checkmark \]

Trying values of x in 4x − 10 = 22

x	4x − 10	Equals 22?
6	14	no
7	18	no
8	22	yes
9	26	no
10	30	no

Questions

What is x in 4x − 10 = 22?

The solution of 4x − 10 = 22 is x = 8.

How do you solve 4x − 10 = 22?

Add 10 to both sides to get 4x = 32, then divide both sides by 4 to get x = 8.

How do I check the answer?

Replace x by 8: 4(8) − 10 = 22, which is 22.

Solve 4x − 10 = 22

How to work it out

Trying values of x in 4x − 10 = 22

Questions

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