Solve 7x − 9 = 75

The solution of 7x − 9 = 75 is x = 12.

7x - 9 = 75\ \Rightarrow\ x = 12

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The lines y = 7x − 9 and y = 75 meet at x = 12. 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.
$7x - 9 = 75$
2
Add 9 to both sides:
$7x - 9 + 9 = 75 + 9 \ \Rightarrow\ 7x = 84$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$7\cdot12 - 9 = 84 - 9 = 75 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 9 = 75\ \Rightarrow\ x = 12 \]
\[ 7x - 9 = 75 \]
\[ 7x - 9 + 9 = 75 + 9 \ \Rightarrow\ 7x = 84 \]
\[ \frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12 \]
\[ 7\cdot12 - 9 = 84 - 9 = 75 \checkmark \]

Trying values of x in 7x − 9 = 75

x	7x − 9	Equals 75?
10	61	no
11	68	no
12	75	yes
13	82	no
14	89	no

Questions

What is x in 7x − 9 = 75?

The solution of 7x − 9 = 75 is x = 12.

How do you solve 7x − 9 = 75?

Add 9 to both sides to get 7x = 84, then divide both sides by 7 to get x = 12.

How do I check the answer?

Replace x by 12: 7(12) − 9 = 75, which is 75.

Solve 7x − 9 = 75

How to work it out

Trying values of x in 7x − 9 = 75

Questions

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