Solve 10x − 14 = 46

The solution of 10x − 14 = 46 is x = 6.

10x - 14 = 46\ \Rightarrow\ x = 6

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The lines y = 10x − 14 and y = 46 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.
$10x - 14 = 46$
2
Add 14 to both sides:
$10x - 14 + 14 = 46 + 14 \ \Rightarrow\ 10x = 60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$10\cdot6 - 14 = 60 - 14 = 46 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 14 = 46\ \Rightarrow\ x = 6 \]
\[ 10x - 14 = 46 \]
\[ 10x - 14 + 14 = 46 + 14 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 - 14 = 60 - 14 = 46 \checkmark \]

Trying values of x in 10x − 14 = 46

x	10x − 14	Equals 46?
4	26	no
5	36	no
6	46	yes
7	56	no
8	66	no

Questions

What is x in 10x − 14 = 46?

The solution of 10x − 14 = 46 is x = 6.

How do you solve 10x − 14 = 46?

Add 14 to both sides to get 10x = 60, then divide both sides by 10 to get x = 6.

How do I check the answer?

Replace x by 6: 10(6) − 14 = 46, which is 46.

Solve 10x − 14 = 46

How to work it out

Trying values of x in 10x − 14 = 46

Questions

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