Solve 5x − 13 = −33

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 5x − 13 = −33

x	5x − 13	Equals -33?
-6	-43	no
-5	-38	no
-4	-33	yes
-3	-28	no
-2	-23	no

Questions

What is x in 5x − 13 = −33?

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

How do you solve 5x − 13 = −33?

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

How do I check the answer?

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

Solve 5x − 13 = −33

How to work it out

Trying values of x in 5x − 13 = −33

Questions

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