Solve 12x − 7 = −127

The solution of 12x − 7 = −127 is x = -10.

12x - 7 = -127\ \Rightarrow\ x = -10

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The lines y = 12x − 7 and y = -127 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.
$12x - 7 = -127$
2
Add 7 to both sides:
$12x - 7 + 7 = -127 + 7 \ \Rightarrow\ 12x = -120$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-120}{12} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$12\cdot(-10) - 7 = -120 - 7 = -127 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = -127\ \Rightarrow\ x = -10 \]
\[ 12x - 7 = -127 \]
\[ 12x - 7 + 7 = -127 + 7 \ \Rightarrow\ 12x = -120 \]
\[ \frac{12x}{12} = \frac{-120}{12} \ \Rightarrow\ x = -10 \]
\[ 12\cdot(-10) - 7 = -120 - 7 = -127 \checkmark \]

Trying values of x in 12x − 7 = −127

x	12x − 7	Equals -127?
-12	-151	no
-11	-139	no
-10	-127	yes
-9	-115	no
-8	-103	no

Questions

What is x in 12x − 7 = −127?

The solution of 12x − 7 = −127 is x = -10.

How do you solve 12x − 7 = −127?

Add 7 to both sides to get 12x = -120, then divide both sides by 12 to get x = -10.

How do I check the answer?

Replace x by -10: 12(-10) − 7 = -127, which is -127.

Solve 12x − 7 = −127

How to work it out

Trying values of x in 12x − 7 = −127

Questions

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