Solve 7x − 11 = 59

The solution of 7x − 11 = 59 is x = 10.

7x - 11 = 59\ \Rightarrow\ x = 10

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The lines y = 7x − 11 and y = 59 meet at x = 10. 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.
$7x - 11 = 59$
2
Add 11 to both sides:
$7x - 11 + 11 = 59 + 11 \ \Rightarrow\ 7x = 70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$7\cdot10 - 11 = 70 - 11 = 59 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 11 = 59\ \Rightarrow\ x = 10 \]
\[ 7x - 11 = 59 \]
\[ 7x - 11 + 11 = 59 + 11 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 - 11 = 70 - 11 = 59 \checkmark \]

Trying values of x in 7x − 11 = 59

x	7x − 11	Equals 59?
8	45	no
9	52	no
10	59	yes
11	66	no
12	73	no

Questions

What is x in 7x − 11 = 59?

The solution of 7x − 11 = 59 is x = 10.

How do you solve 7x − 11 = 59?

Add 11 to both sides to get 7x = 70, then divide both sides by 7 to get x = 10.

How do I check the answer?

Replace x by 10: 7(10) − 11 = 59, which is 59.

Solve 7x − 11 = 59

How to work it out

Trying values of x in 7x − 11 = 59

Questions

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