Solve 12x + 1 = −119

The solution of 12x + 1 = −119 is x = -10.

12x + 1 = -119\ \Rightarrow\ x = -10

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

The lines y = 12x + 1 and y = -119 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 addition, then the multiplication.
$12x + 1 = -119$
2
Subtract 1 from both sides:
$12x + 1 - 1 = -119 - 1 \ \Rightarrow\ 12x = -120$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-120}{12} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$12\cdot(-10) + 1 = -120 + 1 = -119 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 1 = -119\ \Rightarrow\ x = -10 \]
\[ 12x + 1 = -119 \]
\[ 12x + 1 - 1 = -119 - 1 \ \Rightarrow\ 12x = -120 \]
\[ \frac{12x}{12} = \frac{-120}{12} \ \Rightarrow\ x = -10 \]
\[ 12\cdot(-10) + 1 = -120 + 1 = -119 \checkmark \]

Trying values of x in 12x + 1 = −119

x	12x + 1	Equals -119?
-12	-143	no
-11	-131	no
-10	-119	yes
-9	-107	no
-8	-95	no

Questions

What is x in 12x + 1 = −119?

The solution of 12x + 1 = −119 is x = -10.

How do you solve 12x + 1 = −119?

Subtract 1 from both sides to get 12x = -120, then divide both sides by 12 to get x = -10.

How do I check the answer?

Replace x by -10: 12(-10) + 1 = -119, which is -119.

Solve 12x + 1 = −119

How to work it out

Trying values of x in 12x + 1 = −119

Questions

Similar equations