Solve 10x − 12 = −72

The solution of 10x − 12 = −72 is x = -6.

10x - 12 = -72\ \Rightarrow\ x = -6

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

The lines y = 10x − 12 and y = -72 meet at x = -6. 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.
$10x - 12 = -72$
2
Add 12 to both sides:
$10x - 12 + 12 = -72 + 12 \ \Rightarrow\ 10x = -60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$10\cdot(-6) - 12 = -60 - 12 = -72 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 12 = -72\ \Rightarrow\ x = -6 \]
\[ 10x - 12 = -72 \]
\[ 10x - 12 + 12 = -72 + 12 \ \Rightarrow\ 10x = -60 \]
\[ \frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6 \]
\[ 10\cdot(-6) - 12 = -60 - 12 = -72 \checkmark \]

Trying values of x in 10x − 12 = −72

x	10x − 12	Equals -72?
-8	-92	no
-7	-82	no
-6	-72	yes
-5	-62	no
-4	-52	no

Questions

What is x in 10x − 12 = −72?

The solution of 10x − 12 = −72 is x = -6.

How do you solve 10x − 12 = −72?

Add 12 to both sides to get 10x = -60, then divide both sides by 10 to get x = -6.

How do I check the answer?

Replace x by -6: 10(-6) − 12 = -72, which is -72.

Solve 10x − 12 = −72

How to work it out

Trying values of x in 10x − 12 = −72

Questions

Similar equations