Solve 6x + 3 = −51

The solution of 6x + 3 = −51 is x = -9.

6x + 3 = -51\ \Rightarrow\ x = -9

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

The lines y = 6x + 3 and y = -51 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 addition, then the multiplication.
$6x + 3 = -51$
2
Subtract 3 from both sides:
$6x + 3 - 3 = -51 - 3 \ \Rightarrow\ 6x = -54$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-54}{6} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$6\cdot(-9) + 3 = -54 + 3 = -51 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 3 = -51\ \Rightarrow\ x = -9 \]
\[ 6x + 3 = -51 \]
\[ 6x + 3 - 3 = -51 - 3 \ \Rightarrow\ 6x = -54 \]
\[ \frac{6x}{6} = \frac{-54}{6} \ \Rightarrow\ x = -9 \]
\[ 6\cdot(-9) + 3 = -54 + 3 = -51 \checkmark \]

Trying values of x in 6x + 3 = −51

x	6x + 3	Equals -51?
-11	-63	no
-10	-57	no
-9	-51	yes
-8	-45	no
-7	-39	no

Questions

What is x in 6x + 3 = −51?

The solution of 6x + 3 = −51 is x = -9.

How do you solve 6x + 3 = −51?

Subtract 3 from both sides to get 6x = -54, then divide both sides by 6 to get x = -9.

How do I check the answer?

Replace x by -9: 6(-9) + 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