Solve 12x − 11 = −35

The solution of 12x − 11 = −35 is x = -2.

12x - 11 = -35\ \Rightarrow\ x = -2

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

The lines y = 12x − 11 and y = -35 meet at x = -2. 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.
$12x - 11 = -35$
2
Add 11 to both sides:
$12x - 11 + 11 = -35 + 11 \ \Rightarrow\ 12x = -24$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$12\cdot(-2) - 11 = -24 - 11 = -35 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = -35\ \Rightarrow\ x = -2 \]
\[ 12x - 11 = -35 \]
\[ 12x - 11 + 11 = -35 + 11 \ \Rightarrow\ 12x = -24 \]
\[ \frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2 \]
\[ 12\cdot(-2) - 11 = -24 - 11 = -35 \checkmark \]

Trying values of x in 12x − 11 = −35

x	12x − 11	Equals -35?
-4	-59	no
-3	-47	no
-2	-35	yes
-1	-23	no
0	-11	no

Questions

What is x in 12x − 11 = −35?

The solution of 12x − 11 = −35 is x = -2.

How do you solve 12x − 11 = −35?

Add 11 to both sides to get 12x = -24, then divide both sides by 12 to get x = -2.

How do I check the answer?

Replace x by -2: 12(-2) − 11 = -35, which is -35.

Solve 12x − 11 = −35

How to work it out

Trying values of x in 12x − 11 = −35

Questions

Similar equations