Solve 11x + 7 = −37

The solution of 11x + 7 = −37 is x = -4.

11x + 7 = -37\ \Rightarrow\ x = -4

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

The lines y = 11x + 7 and y = -37 meet at x = -4. 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.
$11x + 7 = -37$
2
Subtract 7 from both sides:
$11x + 7 - 7 = -37 - 7 \ \Rightarrow\ 11x = -44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$11\cdot(-4) + 7 = -44 + 7 = -37 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 7 = -37\ \Rightarrow\ x = -4 \]
\[ 11x + 7 = -37 \]
\[ 11x + 7 - 7 = -37 - 7 \ \Rightarrow\ 11x = -44 \]
\[ \frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4 \]
\[ 11\cdot(-4) + 7 = -44 + 7 = -37 \checkmark \]

Trying values of x in 11x + 7 = −37

x	11x + 7	Equals -37?
-6	-59	no
-5	-48	no
-4	-37	yes
-3	-26	no
-2	-15	no

Questions

What is x in 11x + 7 = −37?

The solution of 11x + 7 = −37 is x = -4.

How do you solve 11x + 7 = −37?

Subtract 7 from both sides to get 11x = -44, then divide both sides by 11 to get x = -4.

How do I check the answer?

Replace x by -4: 11(-4) + 7 = -37, which is -37.

Solve 11x + 7 = −37

How to work it out

Trying values of x in 11x + 7 = −37

Questions

Similar equations