Solve 2x − 11 = −7

The solution of 2x − 11 = −7 is x = 2.

2x - 11 = -7\ \Rightarrow\ x = 2

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The lines y = 2x − 11 and y = -7 meet at x = 2. 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.
$2x - 11 = -7$
2
Add 11 to both sides:
$2x - 11 + 11 = -7 + 11 \ \Rightarrow\ 2x = 4$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{4}{2} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$2\cdot2 - 11 = 4 - 11 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 11 = -7\ \Rightarrow\ x = 2 \]
\[ 2x - 11 = -7 \]
\[ 2x - 11 + 11 = -7 + 11 \ \Rightarrow\ 2x = 4 \]
\[ \frac{2x}{2} = \frac{4}{2} \ \Rightarrow\ x = 2 \]
\[ 2\cdot2 - 11 = 4 - 11 = -7 \checkmark \]

Trying values of x in 2x − 11 = −7

x	2x − 11	Equals -7?
0	-11	no
1	-9	no
2	-7	yes
3	-5	no
4	-3	no

Questions

What is x in 2x − 11 = −7?

The solution of 2x − 11 = −7 is x = 2.

How do you solve 2x − 11 = −7?

Add 11 to both sides to get 2x = 4, then divide both sides by 2 to get x = 2.

How do I check the answer?

Replace x by 2: 2(2) − 11 = -7, which is -7.

Solve 2x − 11 = −7

How to work it out

Trying values of x in 2x − 11 = −7

Questions

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