Solve 7x + 11 = −3

The solution of 7x + 11 = −3 is x = -2.

7x + 11 = -3\ \Rightarrow\ x = -2

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

The lines y = 7x + 11 and y = -3 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 addition, then the multiplication.
$7x + 11 = -3$
2
Subtract 11 from both sides:
$7x + 11 - 11 = -3 - 11 \ \Rightarrow\ 7x = -14$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$7\cdot(-2) + 11 = -14 + 11 = -3 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 11 = -3\ \Rightarrow\ x = -2 \]
\[ 7x + 11 = -3 \]
\[ 7x + 11 - 11 = -3 - 11 \ \Rightarrow\ 7x = -14 \]
\[ \frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2 \]
\[ 7\cdot(-2) + 11 = -14 + 11 = -3 \checkmark \]

Trying values of x in 7x + 11 = −3

x	7x + 11	Equals -3?
-4	-17	no
-3	-10	no
-2	-3	yes
-1	4	no
0	11	no

Questions

What is x in 7x + 11 = −3?

The solution of 7x + 11 = −3 is x = -2.

How do you solve 7x + 11 = −3?

Subtract 11 from both sides to get 7x = -14, then divide both sides by 7 to get x = -2.

How do I check the answer?

Replace x by -2: 7(-2) + 11 = -3, which is -3.

Solve 7x + 11 = −3

How to work it out

Trying values of x in 7x + 11 = −3

Questions

Similar equations