Solve 6x − 15 = −3

The solution of 6x − 15 = −3 is x = 2.

6x - 15 = -3\ \Rightarrow\ x = 2

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

The lines y = 6x − 15 and y = -3 meet at x = 2. 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.
$6x - 15 = -3$
2
Add 15 to both sides:
$6x - 15 + 15 = -3 + 15 \ \Rightarrow\ 6x = 12$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$6\cdot2 - 15 = 12 - 15 = -3 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 15 = -3\ \Rightarrow\ x = 2 \]
\[ 6x - 15 = -3 \]
\[ 6x - 15 + 15 = -3 + 15 \ \Rightarrow\ 6x = 12 \]
\[ \frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2 \]
\[ 6\cdot2 - 15 = 12 - 15 = -3 \checkmark \]

Trying values of x in 6x − 15 = −3

x	6x − 15	Equals -3?
0	-15	no
1	-9	no
2	-3	yes
3	3	no
4	9	no

Questions

What is x in 6x − 15 = −3?

The solution of 6x − 15 = −3 is x = 2.

How do you solve 6x − 15 = −3?

Add 15 to both sides to get 6x = 12, then divide both sides by 6 to get x = 2.

How do I check the answer?

Replace x by 2: 6(2) − 15 = -3, which is -3.

Solve 6x − 15 = −3

How to work it out

Trying values of x in 6x − 15 = −3

Questions

Similar equations