Solve 12x + 5 = −43

The solution of 12x + 5 = −43 is x = -4.

12x + 5 = -43\ \Rightarrow\ x = -4

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The lines y = 12x + 5 and y = -43 meet at x = -4. 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 addition, then the multiplication.
$12x + 5 = -43$
2
Subtract 5 from both sides:
$12x + 5 - 5 = -43 - 5 \ \Rightarrow\ 12x = -48$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-48}{12} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$12\cdot(-4) + 5 = -48 + 5 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 5 = -43\ \Rightarrow\ x = -4 \]
\[ 12x + 5 = -43 \]
\[ 12x + 5 - 5 = -43 - 5 \ \Rightarrow\ 12x = -48 \]
\[ \frac{12x}{12} = \frac{-48}{12} \ \Rightarrow\ x = -4 \]
\[ 12\cdot(-4) + 5 = -48 + 5 = -43 \checkmark \]

Trying values of x in 12x + 5 = −43

x	12x + 5	Equals -43?
-6	-67	no
-5	-55	no
-4	-43	yes
-3	-31	no
-2	-19	no

Questions

What is x in 12x + 5 = −43?

The solution of 12x + 5 = −43 is x = -4.

How do you solve 12x + 5 = −43?

Subtract 5 from both sides to get 12x = -48, then divide both sides by 12 to get x = -4.

How do I check the answer?

Replace x by -4: 12(-4) + 5 = -43, which is -43.

Solve 12x + 5 = −43

How to work it out

Trying values of x in 12x + 5 = −43

Questions

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