Solve 4x − 13 = −29

The solution of 4x − 13 = −29 is x = -4.

4x - 13 = -29\ \Rightarrow\ x = -4

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

The lines y = 4x − 13 and y = -29 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 subtraction, then the multiplication.
$4x - 13 = -29$
2
Add 13 to both sides:
$4x - 13 + 13 = -29 + 13 \ \Rightarrow\ 4x = -16$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-16}{4} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$4\cdot(-4) - 13 = -16 - 13 = -29 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 13 = -29\ \Rightarrow\ x = -4 \]
\[ 4x - 13 = -29 \]
\[ 4x - 13 + 13 = -29 + 13 \ \Rightarrow\ 4x = -16 \]
\[ \frac{4x}{4} = \frac{-16}{4} \ \Rightarrow\ x = -4 \]
\[ 4\cdot(-4) - 13 = -16 - 13 = -29 \checkmark \]

Trying values of x in 4x − 13 = −29

x	4x − 13	Equals -29?
-6	-37	no
-5	-33	no
-4	-29	yes
-3	-25	no
-2	-21	no

Questions

What is x in 4x − 13 = −29?

The solution of 4x − 13 = −29 is x = -4.

How do you solve 4x − 13 = −29?

Add 13 to both sides to get 4x = -16, then divide both sides by 4 to get x = -4.

How do I check the answer?

Replace x by -4: 4(-4) − 13 = -29, which is -29.

Solve 4x − 13 = −29

How to work it out

Trying values of x in 4x − 13 = −29

Questions

Similar equations