Solve 2x − 8 = −6

The solution of 2x − 8 = −6 is x = 1.

2x - 8 = -6\ \Rightarrow\ x = 1

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The lines y = 2x − 8 and y = -6 meet at x = 1. 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.
$2x - 8 = -6$
2
Add 8 to both sides:
$2x - 8 + 8 = -6 + 8 \ \Rightarrow\ 2x = 2$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{2}{2} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$2\cdot1 - 8 = 2 - 8 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 8 = -6\ \Rightarrow\ x = 1 \]
\[ 2x - 8 = -6 \]
\[ 2x - 8 + 8 = -6 + 8 \ \Rightarrow\ 2x = 2 \]
\[ \frac{2x}{2} = \frac{2}{2} \ \Rightarrow\ x = 1 \]
\[ 2\cdot1 - 8 = 2 - 8 = -6 \checkmark \]

Trying values of x in 2x − 8 = −6

x	2x − 8	Equals -6?
-1	-10	no
0	-8	no
1	-6	yes
2	-4	no
3	-2	no

Questions

What is x in 2x − 8 = −6?

The solution of 2x − 8 = −6 is x = 1.

How do you solve 2x − 8 = −6?

Add 8 to both sides to get 2x = 2, then divide both sides by 2 to get x = 1.

How do I check the answer?

Replace x by 1: 2(1) − 8 = -6, which is -6.

Solve 2x − 8 = −6

How to work it out

Trying values of x in 2x − 8 = −6

Questions

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