Solve 2x − 12 = −6

The solution of 2x − 12 = −6 is x = 3.

2x - 12 = -6\ \Rightarrow\ x = 3

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The lines y = 2x − 12 and y = -6 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.
$2x - 12 = -6$
2
Add 12 to both sides:
$2x - 12 + 12 = -6 + 12 \ \Rightarrow\ 2x = 6$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$2\cdot3 - 12 = 6 - 12 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 12 = -6\ \Rightarrow\ x = 3 \]
\[ 2x - 12 = -6 \]
\[ 2x - 12 + 12 = -6 + 12 \ \Rightarrow\ 2x = 6 \]
\[ \frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3 \]
\[ 2\cdot3 - 12 = 6 - 12 = -6 \checkmark \]

Trying values of x in 2x − 12 = −6

x	2x − 12	Equals -6?
1	-10	no
2	-8	no
3	-6	yes
4	-4	no
5	-2	no

Questions

What is x in 2x − 12 = −6?

The solution of 2x − 12 = −6 is x = 3.

How do you solve 2x − 12 = −6?

Add 12 to both sides to get 2x = 6, then divide both sides by 2 to get x = 3.

How do I check the answer?

Replace x by 3: 2(3) − 12 = -6, which is -6.

Solve 2x − 12 = −6

How to work it out

Trying values of x in 2x − 12 = −6

Questions

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