Solve 7x − 12 = 23

The solution of 7x − 12 = 23 is x = 5.

7x - 12 = 23\ \Rightarrow\ x = 5

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The lines y = 7x − 12 and y = 23 meet at x = 5. 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.
$7x - 12 = 23$
2
Add 12 to both sides:
$7x - 12 + 12 = 23 + 12 \ \Rightarrow\ 7x = 35$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$7\cdot5 - 12 = 35 - 12 = 23 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 12 = 23\ \Rightarrow\ x = 5 \]
\[ 7x - 12 = 23 \]
\[ 7x - 12 + 12 = 23 + 12 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 - 12 = 35 - 12 = 23 \checkmark \]

Trying values of x in 7x − 12 = 23

x	7x − 12	Equals 23?
3	9	no
4	16	no
5	23	yes
6	30	no
7	37	no

Questions

What is x in 7x − 12 = 23?

The solution of 7x − 12 = 23 is x = 5.

How do you solve 7x − 12 = 23?

Add 12 to both sides to get 7x = 35, then divide both sides by 7 to get x = 5.

How do I check the answer?

Replace x by 5: 7(5) − 12 = 23, which is 23.

Solve 7x − 12 = 23

How to work it out

Trying values of x in 7x − 12 = 23

Questions

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