Solve 5x − 12 = 23

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

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

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The lines y = 5x − 12 and y = 23 meet at x = 7. 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.
$5x - 12 = 23$
2
Add 12 to both sides:
$5x - 12 + 12 = 23 + 12 \ \Rightarrow\ 5x = 35$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$5\cdot7 - 12 = 35 - 12 = 23 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 12 = 23\ \Rightarrow\ x = 7 \]
\[ 5x - 12 = 23 \]
\[ 5x - 12 + 12 = 23 + 12 \ \Rightarrow\ 5x = 35 \]
\[ \frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7 \]
\[ 5\cdot7 - 12 = 35 - 12 = 23 \checkmark \]

Trying values of x in 5x − 12 = 23

x	5x − 12	Equals 23?
5	13	no
6	18	no
7	23	yes
8	28	no
9	33	no

Questions

What is x in 5x − 12 = 23?

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

How do you solve 5x − 12 = 23?

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

How do I check the answer?

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

Solve 5x − 12 = 23

How to work it out

Trying values of x in 5x − 12 = 23

Questions

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