Solve 12x − 7 = −67

The solution of 12x − 7 = −67 is x = -5.

12x - 7 = -67\ \Rightarrow\ x = -5

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The lines y = 12x − 7 and y = -67 meet at x = -5. 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.
$12x - 7 = -67$
2
Add 7 to both sides:
$12x - 7 + 7 = -67 + 7 \ \Rightarrow\ 12x = -60$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-60}{12} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$12\cdot(-5) - 7 = -60 - 7 = -67 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = -67\ \Rightarrow\ x = -5 \]
\[ 12x - 7 = -67 \]
\[ 12x - 7 + 7 = -67 + 7 \ \Rightarrow\ 12x = -60 \]
\[ \frac{12x}{12} = \frac{-60}{12} \ \Rightarrow\ x = -5 \]
\[ 12\cdot(-5) - 7 = -60 - 7 = -67 \checkmark \]

Trying values of x in 12x − 7 = −67

x	12x − 7	Equals -67?
-7	-91	no
-6	-79	no
-5	-67	yes
-4	-55	no
-3	-43	no

Questions

What is x in 12x − 7 = −67?

The solution of 12x − 7 = −67 is x = -5.

How do you solve 12x − 7 = −67?

Add 7 to both sides to get 12x = -60, then divide both sides by 12 to get x = -5.

How do I check the answer?

Replace x by -5: 12(-5) − 7 = -67, which is -67.

Solve 12x − 7 = −67

How to work it out

Trying values of x in 12x − 7 = −67

Questions

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