Solve 7x − 12 = −54

The solution of 7x − 12 = −54 is x = -6.

7x - 12 = -54\ \Rightarrow\ x = -6

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

The lines y = 7x − 12 and y = -54 meet at x = -6. 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.
$7x - 12 = -54$
2
Add 12 to both sides:
$7x - 12 + 12 = -54 + 12 \ \Rightarrow\ 7x = -42$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$7\cdot(-6) - 12 = -42 - 12 = -54 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 12 = -54\ \Rightarrow\ x = -6 \]
\[ 7x - 12 = -54 \]
\[ 7x - 12 + 12 = -54 + 12 \ \Rightarrow\ 7x = -42 \]
\[ \frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6 \]
\[ 7\cdot(-6) - 12 = -42 - 12 = -54 \checkmark \]

Trying values of x in 7x − 12 = −54

x	7x − 12	Equals -54?
-8	-68	no
-7	-61	no
-6	-54	yes
-5	-47	no
-4	-40	no

Questions

What is x in 7x − 12 = −54?

The solution of 7x − 12 = −54 is x = -6.

How do you solve 7x − 12 = −54?

Add 12 to both sides to get 7x = -42, then divide both sides by 7 to get x = -6.

How do I check the answer?

Replace x by -6: 7(-6) − 12 = -54, which is -54.

Solve 7x − 12 = −54

How to work it out

Trying values of x in 7x − 12 = −54

Questions

Similar equations