Solve 4x − 12 = −36

The solution of 4x − 12 = −36 is x = -6.

4x - 12 = -36\ \Rightarrow\ x = -6

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The lines y = 4x − 12 and y = -36 meet at x = -6. 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.
$4x - 12 = -36$
2
Add 12 to both sides:
$4x - 12 + 12 = -36 + 12 \ \Rightarrow\ 4x = -24$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-24}{4} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$4\cdot(-6) - 12 = -24 - 12 = -36 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 12 = -36\ \Rightarrow\ x = -6 \]
\[ 4x - 12 = -36 \]
\[ 4x - 12 + 12 = -36 + 12 \ \Rightarrow\ 4x = -24 \]
\[ \frac{4x}{4} = \frac{-24}{4} \ \Rightarrow\ x = -6 \]
\[ 4\cdot(-6) - 12 = -24 - 12 = -36 \checkmark \]

Trying values of x in 4x − 12 = −36

x	4x − 12	Equals -36?
-8	-44	no
-7	-40	no
-6	-36	yes
-5	-32	no
-4	-28	no

Questions

What is x in 4x − 12 = −36?

The solution of 4x − 12 = −36 is x = -6.

How do you solve 4x − 12 = −36?

Add 12 to both sides to get 4x = -24, then divide both sides by 4 to get x = -6.

How do I check the answer?

Replace x by -6: 4(-6) − 12 = -36, which is -36.

Solve 4x − 12 = −36

How to work it out

Trying values of x in 4x − 12 = −36

Questions

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