Solve 5x − 12 = −62

The solution of 5x − 12 = −62 is x = -10.

5x - 12 = -62\ \Rightarrow\ x = -10

Explain it step by step in chat Make a short video of it

The lines y = 5x − 12 and y = -62 meet at x = -10. 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.
$5x - 12 = -62$
2
Add 12 to both sides:
$5x - 12 + 12 = -62 + 12 \ \Rightarrow\ 5x = -50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$5\cdot(-10) - 12 = -50 - 12 = -62 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 12 = -62\ \Rightarrow\ x = -10 \]
\[ 5x - 12 = -62 \]
\[ 5x - 12 + 12 = -62 + 12 \ \Rightarrow\ 5x = -50 \]
\[ \frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10 \]
\[ 5\cdot(-10) - 12 = -50 - 12 = -62 \checkmark \]

Trying values of x in 5x − 12 = −62

x	5x − 12	Equals -62?
-12	-72	no
-11	-67	no
-10	-62	yes
-9	-57	no
-8	-52	no

Questions

What is x in 5x − 12 = −62?

The solution of 5x − 12 = −62 is x = -10.

How do you solve 5x − 12 = −62?

Add 12 to both sides to get 5x = -50, then divide both sides by 5 to get x = -10.

How do I check the answer?

Replace x by -10: 5(-10) − 12 = -62, which is -62.

Solve 5x − 12 = −62

How to work it out

Trying values of x in 5x − 12 = −62

Questions

Similar equations