Solve 2x − 15 = −33

The solution of 2x − 15 = −33 is x = -9.

2x - 15 = -33\ \Rightarrow\ x = -9

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The lines y = 2x − 15 and y = -33 meet at x = -9. 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.
$2x - 15 = -33$
2
Add 15 to both sides:
$2x - 15 + 15 = -33 + 15 \ \Rightarrow\ 2x = -18$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-18}{2} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$2\cdot(-9) - 15 = -18 - 15 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 15 = -33\ \Rightarrow\ x = -9 \]
\[ 2x - 15 = -33 \]
\[ 2x - 15 + 15 = -33 + 15 \ \Rightarrow\ 2x = -18 \]
\[ \frac{2x}{2} = \frac{-18}{2} \ \Rightarrow\ x = -9 \]
\[ 2\cdot(-9) - 15 = -18 - 15 = -33 \checkmark \]

Trying values of x in 2x − 15 = −33

x	2x − 15	Equals -33?
-11	-37	no
-10	-35	no
-9	-33	yes
-8	-31	no
-7	-29	no

Questions

What is x in 2x − 15 = −33?

The solution of 2x − 15 = −33 is x = -9.

How do you solve 2x − 15 = −33?

Add 15 to both sides to get 2x = -18, then divide both sides by 2 to get x = -9.

How do I check the answer?

Replace x by -9: 2(-9) − 15 = -33, which is -33.

Solve 2x − 15 = −33

How to work it out

Trying values of x in 2x − 15 = −33

Questions

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