Solve 12x − 7 = −103

The solution of 12x − 7 = −103 is x = -8.

12x - 7 = -103\ \Rightarrow\ x = -8

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The lines y = 12x − 7 and y = -103 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.
$12x - 7 = -103$
2
Add 7 to both sides:
$12x - 7 + 7 = -103 + 7 \ \Rightarrow\ 12x = -96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$12\cdot(-8) - 7 = -96 - 7 = -103 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = -103\ \Rightarrow\ x = -8 \]
\[ 12x - 7 = -103 \]
\[ 12x - 7 + 7 = -103 + 7 \ \Rightarrow\ 12x = -96 \]
\[ \frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8 \]
\[ 12\cdot(-8) - 7 = -96 - 7 = -103 \checkmark \]

Trying values of x in 12x − 7 = −103

x	12x − 7	Equals -103?
-10	-127	no
-9	-115	no
-8	-103	yes
-7	-91	no
-6	-79	no

Questions

What is x in 12x − 7 = −103?

The solution of 12x − 7 = −103 is x = -8.

How do you solve 12x − 7 = −103?

Add 7 to both sides to get 12x = -96, then divide both sides by 12 to get x = -8.

How do I check the answer?

Replace x by -8: 12(-8) − 7 = -103, which is -103.

Solve 12x − 7 = −103

How to work it out

Trying values of x in 12x − 7 = −103

Questions

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