Solve 7x − 14 = 49

The solution of 7x − 14 = 49 is x = 9.

7x - 14 = 49\ \Rightarrow\ x = 9

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The lines y = 7x − 14 and y = 49 meet at x = 9. 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.
$7x - 14 = 49$
2
Add 14 to both sides:
$7x - 14 + 14 = 49 + 14 \ \Rightarrow\ 7x = 63$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$7\cdot9 - 14 = 63 - 14 = 49 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 14 = 49\ \Rightarrow\ x = 9 \]
\[ 7x - 14 = 49 \]
\[ 7x - 14 + 14 = 49 + 14 \ \Rightarrow\ 7x = 63 \]
\[ \frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9 \]
\[ 7\cdot9 - 14 = 63 - 14 = 49 \checkmark \]

Trying values of x in 7x − 14 = 49

x	7x − 14	Equals 49?
7	35	no
8	42	no
9	49	yes
10	56	no
11	63	no

Questions

What is x in 7x − 14 = 49?

The solution of 7x − 14 = 49 is x = 9.

How do you solve 7x − 14 = 49?

Add 14 to both sides to get 7x = 63, then divide both sides by 7 to get x = 9.

How do I check the answer?

Replace x by 9: 7(9) − 14 = 49, which is 49.

Solve 7x − 14 = 49

How to work it out

Trying values of x in 7x − 14 = 49

Questions

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