Solve 4x − 13 = −33

The solution of 4x − 13 = −33 is x = -5.

4x - 13 = -33\ \Rightarrow\ x = -5

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

The lines y = 4x − 13 and y = -33 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 subtraction, then the multiplication.
$4x - 13 = -33$
2
Add 13 to both sides:
$4x - 13 + 13 = -33 + 13 \ \Rightarrow\ 4x = -20$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-20}{4} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$4\cdot(-5) - 13 = -20 - 13 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 13 = -33\ \Rightarrow\ x = -5 \]
\[ 4x - 13 = -33 \]
\[ 4x - 13 + 13 = -33 + 13 \ \Rightarrow\ 4x = -20 \]
\[ \frac{4x}{4} = \frac{-20}{4} \ \Rightarrow\ x = -5 \]
\[ 4\cdot(-5) - 13 = -20 - 13 = -33 \checkmark \]

Trying values of x in 4x − 13 = −33

x	4x − 13	Equals -33?
-7	-41	no
-6	-37	no
-5	-33	yes
-4	-29	no
-3	-25	no

Questions

What is x in 4x − 13 = −33?

The solution of 4x − 13 = −33 is x = -5.

How do you solve 4x − 13 = −33?

Add 13 to both sides to get 4x = -20, then divide both sides by 4 to get x = -5.

How do I check the answer?

Replace x by -5: 4(-5) − 13 = -33, which is -33.

Solve 4x − 13 = −33

How to work it out

Trying values of x in 4x − 13 = −33

Questions

Similar equations