Solve 5x + 11 = −29

The solution of 5x + 11 = −29 is x = -8.

5x + 11 = -29\ \Rightarrow\ x = -8

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

The lines y = 5x + 11 and y = -29 meet at x = -8. 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.
$5x + 11 = -29$
2
Subtract 11 from both sides:
$5x + 11 - 11 = -29 - 11 \ \Rightarrow\ 5x = -40$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$5\cdot(-8) + 11 = -40 + 11 = -29 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 11 = -29\ \Rightarrow\ x = -8 \]
\[ 5x + 11 = -29 \]
\[ 5x + 11 - 11 = -29 - 11 \ \Rightarrow\ 5x = -40 \]
\[ \frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8 \]
\[ 5\cdot(-8) + 11 = -40 + 11 = -29 \checkmark \]

Trying values of x in 5x + 11 = −29

x	5x + 11	Equals -29?
-10	-39	no
-9	-34	no
-8	-29	yes
-7	-24	no
-6	-19	no

Questions

What is x in 5x + 11 = −29?

The solution of 5x + 11 = −29 is x = -8.

How do you solve 5x + 11 = −29?

Subtract 11 from both sides to get 5x = -40, then divide both sides by 5 to get x = -8.

How do I check the answer?

Replace x by -8: 5(-8) + 11 = -29, which is -29.

Solve 5x + 11 = −29

How to work it out

Trying values of x in 5x + 11 = −29

Questions

Similar equations