Solve 12x − 7 = −43

The solution of 12x − 7 = −43 is x = -3.

12x - 7 = -43\ \Rightarrow\ x = -3

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The lines y = 12x − 7 and y = -43 meet at x = -3. 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.
$12x - 7 = -43$
2
Add 7 to both sides:
$12x - 7 + 7 = -43 + 7 \ \Rightarrow\ 12x = -36$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$12\cdot(-3) - 7 = -36 - 7 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = -43\ \Rightarrow\ x = -3 \]
\[ 12x - 7 = -43 \]
\[ 12x - 7 + 7 = -43 + 7 \ \Rightarrow\ 12x = -36 \]
\[ \frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3 \]
\[ 12\cdot(-3) - 7 = -36 - 7 = -43 \checkmark \]

Trying values of x in 12x − 7 = −43

x	12x − 7	Equals -43?
-5	-67	no
-4	-55	no
-3	-43	yes
-2	-31	no
-1	-19	no

Questions

What is x in 12x − 7 = −43?

The solution of 12x − 7 = −43 is x = -3.

How do you solve 12x − 7 = −43?

Add 7 to both sides to get 12x = -36, then divide both sides by 12 to get x = -3.

How do I check the answer?

Replace x by -3: 12(-3) − 7 = -43, which is -43.

Solve 12x − 7 = −43

How to work it out

Trying values of x in 12x − 7 = −43

Questions

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