Solve 11x − 15 = 7

The solution of 11x − 15 = 7 is x = 2.

11x - 15 = 7\ \Rightarrow\ x = 2

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The lines y = 11x − 15 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.
$11x - 15 = 7$
2
Add 15 to both sides:
$11x - 15 + 15 = 7 + 15 \ \Rightarrow\ 11x = 22$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{22}{11} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$11\cdot2 - 15 = 22 - 15 = 7 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 15 = 7\ \Rightarrow\ x = 2 \]
\[ 11x - 15 = 7 \]
\[ 11x - 15 + 15 = 7 + 15 \ \Rightarrow\ 11x = 22 \]
\[ \frac{11x}{11} = \frac{22}{11} \ \Rightarrow\ x = 2 \]
\[ 11\cdot2 - 15 = 22 - 15 = 7 \checkmark \]

Trying values of x in 11x − 15 = 7

x	11x − 15	Equals 7?
0	-15	no
1	-4	no
2	7	yes
3	18	no
4	29	no

Questions

What is x in 11x − 15 = 7?

The solution of 11x − 15 = 7 is x = 2.

How do you solve 11x − 15 = 7?

Add 15 to both sides to get 11x = 22, then divide both sides by 11 to get x = 2.

How do I check the answer?

Replace x by 2: 11(2) − 15 = 7, which is 7.

Solve 11x − 15 = 7

How to work it out

Trying values of x in 11x − 15 = 7

Questions

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