Solve 4x + 11 = −29

The solution of 4x + 11 = −29 is x = -10.

4x + 11 = -29\ \Rightarrow\ x = -10

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

The lines y = 4x + 11 and y = -29 meet at x = -10. 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.
$4x + 11 = -29$
2
Subtract 11 from both sides:
$4x + 11 - 11 = -29 - 11 \ \Rightarrow\ 4x = -40$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-40}{4} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$4\cdot(-10) + 11 = -40 + 11 = -29 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 11 = -29\ \Rightarrow\ x = -10 \]
\[ 4x + 11 = -29 \]
\[ 4x + 11 - 11 = -29 - 11 \ \Rightarrow\ 4x = -40 \]
\[ \frac{4x}{4} = \frac{-40}{4} \ \Rightarrow\ x = -10 \]
\[ 4\cdot(-10) + 11 = -40 + 11 = -29 \checkmark \]

Trying values of x in 4x + 11 = −29

x	4x + 11	Equals -29?
-12	-37	no
-11	-33	no
-10	-29	yes
-9	-25	no
-8	-21	no

Questions

What is x in 4x + 11 = −29?

The solution of 4x + 11 = −29 is x = -10.

How do you solve 4x + 11 = −29?

Subtract 11 from both sides to get 4x = -40, then divide both sides by 4 to get x = -10.

How do I check the answer?

Replace x by -10: 4(-10) + 11 = -29, which is -29.

Solve 4x + 11 = −29

How to work it out

Trying values of x in 4x + 11 = −29

Questions

Similar equations