Solve 3x − 14 = 10

The solution of 3x − 14 = 10 is x = 8.

3x - 14 = 10\ \Rightarrow\ x = 8

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The lines y = 3x − 14 and y = 10 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.
$3x - 14 = 10$
2
Add 14 to both sides:
$3x - 14 + 14 = 10 + 14 \ \Rightarrow\ 3x = 24$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$3\cdot8 - 14 = 24 - 14 = 10 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 14 = 10\ \Rightarrow\ x = 8 \]
\[ 3x - 14 = 10 \]
\[ 3x - 14 + 14 = 10 + 14 \ \Rightarrow\ 3x = 24 \]
\[ \frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8 \]
\[ 3\cdot8 - 14 = 24 - 14 = 10 \checkmark \]

Trying values of x in 3x − 14 = 10

x	3x − 14	Equals 10?
6	4	no
7	7	no
8	10	yes
9	13	no
10	16	no

Questions

What is x in 3x − 14 = 10?

The solution of 3x − 14 = 10 is x = 8.

How do you solve 3x − 14 = 10?

Add 14 to both sides to get 3x = 24, then divide both sides by 3 to get x = 8.

How do I check the answer?

Replace x by 8: 3(8) − 14 = 10, which is 10.

Solve 3x − 14 = 10

How to work it out

Trying values of x in 3x − 14 = 10

Questions

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