Solve 6x − 3 = −51

The solution of 6x − 3 = −51 is x = -8.

6x - 3 = -51\ \Rightarrow\ x = -8

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

The lines y = 6x − 3 and y = -51 meet at x = -8. 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.
$6x - 3 = -51$
2
Add 3 to both sides:
$6x - 3 + 3 = -51 + 3 \ \Rightarrow\ 6x = -48$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$6\cdot(-8) - 3 = -48 - 3 = -51 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 3 = -51\ \Rightarrow\ x = -8 \]
\[ 6x - 3 = -51 \]
\[ 6x - 3 + 3 = -51 + 3 \ \Rightarrow\ 6x = -48 \]
\[ \frac{6x}{6} = \frac{-48}{6} \ \Rightarrow\ x = -8 \]
\[ 6\cdot(-8) - 3 = -48 - 3 = -51 \checkmark \]

Trying values of x in 6x − 3 = −51

x	6x − 3	Equals -51?
-10	-63	no
-9	-57	no
-8	-51	yes
-7	-45	no
-6	-39	no

Questions

What is x in 6x − 3 = −51?

The solution of 6x − 3 = −51 is x = -8.

How do you solve 6x − 3 = −51?

Add 3 to both sides to get 6x = -48, then divide both sides by 6 to get x = -8.

How do I check the answer?

Replace x by -8: 6(-8) − 3 = -51, which is -51.

Solve 6x − 3 = −51

How to work it out

Trying values of x in 6x − 3 = −51

Questions

Similar equations