Solve 3x − 15 = −45

The solution of 3x − 15 = −45 is x = -10.

3x - 15 = -45\ \Rightarrow\ x = -10

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The lines y = 3x − 15 and y = -45 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.
$3x - 15 = -45$
2
Add 15 to both sides:
$3x - 15 + 15 = -45 + 15 \ \Rightarrow\ 3x = -30$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{-30}{3} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$3\cdot(-10) - 15 = -30 - 15 = -45 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 15 = -45\ \Rightarrow\ x = -10 \]
\[ 3x - 15 = -45 \]
\[ 3x - 15 + 15 = -45 + 15 \ \Rightarrow\ 3x = -30 \]
\[ \frac{3x}{3} = \frac{-30}{3} \ \Rightarrow\ x = -10 \]
\[ 3\cdot(-10) - 15 = -30 - 15 = -45 \checkmark \]

Trying values of x in 3x − 15 = −45

x	3x − 15	Equals -45?
-12	-51	no
-11	-48	no
-10	-45	yes
-9	-42	no
-8	-39	no

Questions

What is x in 3x − 15 = −45?

The solution of 3x − 15 = −45 is x = -10.

How do you solve 3x − 15 = −45?

Add 15 to both sides to get 3x = -30, then divide both sides by 3 to get x = -10.

How do I check the answer?

Replace x by -10: 3(-10) − 15 = -45, which is -45.

Solve 3x − 15 = −45

How to work it out

Trying values of x in 3x − 15 = −45

Questions

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