Solve 12x − 11 = −119

The solution of 12x − 11 = −119 is x = -9.

12x - 11 = -119\ \Rightarrow\ x = -9

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

The lines y = 12x − 11 and y = -119 meet at x = -9. 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.
$12x - 11 = -119$
2
Add 11 to both sides:
$12x - 11 + 11 = -119 + 11 \ \Rightarrow\ 12x = -108$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-108}{12} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$12\cdot(-9) - 11 = -108 - 11 = -119 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = -119\ \Rightarrow\ x = -9 \]
\[ 12x - 11 = -119 \]
\[ 12x - 11 + 11 = -119 + 11 \ \Rightarrow\ 12x = -108 \]
\[ \frac{12x}{12} = \frac{-108}{12} \ \Rightarrow\ x = -9 \]
\[ 12\cdot(-9) - 11 = -108 - 11 = -119 \checkmark \]

Trying values of x in 12x − 11 = −119

x	12x − 11	Equals -119?
-11	-143	no
-10	-131	no
-9	-119	yes
-8	-107	no
-7	-95	no

Questions

What is x in 12x − 11 = −119?

The solution of 12x − 11 = −119 is x = -9.

How do you solve 12x − 11 = −119?

Add 11 to both sides to get 12x = -108, then divide both sides by 12 to get x = -9.

How do I check the answer?

Replace x by -9: 12(-9) − 11 = -119, which is -119.

Solve 12x − 11 = −119

How to work it out

Trying values of x in 12x − 11 = −119

Questions

Similar equations