Solve 11x − 7 = 136

The solution of 11x − 7 = 136 is x = 13.

11x - 7 = 136\ \Rightarrow\ x = 13

Explain it step by step in chat Make a short video of it

The lines y = 11x − 7 and y = 136 meet at x = 13. 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.
$11x - 7 = 136$
2
Add 7 to both sides:
$11x - 7 + 7 = 136 + 7 \ \Rightarrow\ 11x = 143$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$11\cdot13 - 7 = 143 - 7 = 136 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 7 = 136\ \Rightarrow\ x = 13 \]
\[ 11x - 7 = 136 \]
\[ 11x - 7 + 7 = 136 + 7 \ \Rightarrow\ 11x = 143 \]
\[ \frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13 \]
\[ 11\cdot13 - 7 = 143 - 7 = 136 \checkmark \]

Trying values of x in 11x − 7 = 136

x	11x − 7	Equals 136?
11	114	no
12	125	no
13	136	yes
14	147	no
15	158	no

Questions

What is x in 11x − 7 = 136?

The solution of 11x − 7 = 136 is x = 13.

How do you solve 11x − 7 = 136?

Add 7 to both sides to get 11x = 143, then divide both sides by 11 to get x = 13.

How do I check the answer?

Replace x by 13: 11(13) − 7 = 136, which is 136.

Solve 11x − 7 = 136

How to work it out

Trying values of x in 11x − 7 = 136

Questions

Similar equations