Solve 7x − 10 = 46

The solution of 7x − 10 = 46 is x = 8.

7x - 10 = 46\ \Rightarrow\ x = 8

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The lines y = 7x − 10 and y = 46 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.
$7x - 10 = 46$
2
Add 10 to both sides:
$7x - 10 + 10 = 46 + 10 \ \Rightarrow\ 7x = 56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$7\cdot8 - 10 = 56 - 10 = 46 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 10 = 46\ \Rightarrow\ x = 8 \]
\[ 7x - 10 = 46 \]
\[ 7x - 10 + 10 = 46 + 10 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 - 10 = 56 - 10 = 46 \checkmark \]

Trying values of x in 7x − 10 = 46

x	7x − 10	Equals 46?
6	32	no
7	39	no
8	46	yes
9	53	no
10	60	no

Questions

What is x in 7x − 10 = 46?

The solution of 7x − 10 = 46 is x = 8.

How do you solve 7x − 10 = 46?

Add 10 to both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) − 10 = 46, which is 46.

Solve 7x − 10 = 46

How to work it out

Trying values of x in 7x − 10 = 46

Questions

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