Solve 7x + 11 = −24

The solution of 7x + 11 = −24 is x = -5.

7x + 11 = -24\ \Rightarrow\ x = -5

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

The lines y = 7x + 11 and y = -24 meet at x = -5. 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.
$7x + 11 = -24$
2
Subtract 11 from both sides:
$7x + 11 - 11 = -24 - 11 \ \Rightarrow\ 7x = -35$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-35}{7} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$7\cdot(-5) + 11 = -35 + 11 = -24 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 11 = -24\ \Rightarrow\ x = -5 \]
\[ 7x + 11 = -24 \]
\[ 7x + 11 - 11 = -24 - 11 \ \Rightarrow\ 7x = -35 \]
\[ \frac{7x}{7} = \frac{-35}{7} \ \Rightarrow\ x = -5 \]
\[ 7\cdot(-5) + 11 = -35 + 11 = -24 \checkmark \]

Trying values of x in 7x + 11 = −24

x	7x + 11	Equals -24?
-7	-38	no
-6	-31	no
-5	-24	yes
-4	-17	no
-3	-10	no

Questions

What is x in 7x + 11 = −24?

The solution of 7x + 11 = −24 is x = -5.

How do you solve 7x + 11 = −24?

Subtract 11 from both sides to get 7x = -35, then divide both sides by 7 to get x = -5.

How do I check the answer?

Replace x by -5: 7(-5) + 11 = -24, which is -24.

Solve 7x + 11 = −24

How to work it out

Trying values of x in 7x + 11 = −24

Questions

Similar equations