Solve 2x − 13 = −33

The solution of 2x − 13 = −33 is x = -10.

2x - 13 = -33\ \Rightarrow\ x = -10

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The lines y = 2x − 13 and y = -33 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 subtraction, then the multiplication.
$2x - 13 = -33$
2
Add 13 to both sides:
$2x - 13 + 13 = -33 + 13 \ \Rightarrow\ 2x = -20$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$2\cdot(-10) - 13 = -20 - 13 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 13 = -33\ \Rightarrow\ x = -10 \]
\[ 2x - 13 = -33 \]
\[ 2x - 13 + 13 = -33 + 13 \ \Rightarrow\ 2x = -20 \]
\[ \frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10 \]
\[ 2\cdot(-10) - 13 = -20 - 13 = -33 \checkmark \]

Trying values of x in 2x − 13 = −33

x	2x − 13	Equals -33?
-12	-37	no
-11	-35	no
-10	-33	yes
-9	-31	no
-8	-29	no

Questions

What is x in 2x − 13 = −33?

The solution of 2x − 13 = −33 is x = -10.

How do you solve 2x − 13 = −33?

Add 13 to both sides to get 2x = -20, then divide both sides by 2 to get x = -10.

How do I check the answer?

Replace x by -10: 2(-10) − 13 = -33, which is -33.

Solve 2x − 13 = −33

How to work it out

Trying values of x in 2x − 13 = −33

Questions

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