Solve 7x + 11 = 60

The solution of 7x + 11 = 60 is x = 7.

7x + 11 = 60\ \Rightarrow\ x = 7

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The lines y = 7x + 11 and y = 60 meet at x = 7. 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 addition, then the multiplication.
$7x + 11 = 60$
2
Subtract 11 from both sides:
$7x + 11 - 11 = 60 - 11 \ \Rightarrow\ 7x = 49$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$7\cdot7 + 11 = 49 + 11 = 60 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 11 = 60\ \Rightarrow\ x = 7 \]
\[ 7x + 11 = 60 \]
\[ 7x + 11 - 11 = 60 - 11 \ \Rightarrow\ 7x = 49 \]
\[ \frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7 \]
\[ 7\cdot7 + 11 = 49 + 11 = 60 \checkmark \]

Trying values of x in 7x + 11 = 60

x	7x + 11	Equals 60?
5	46	no
6	53	no
7	60	yes
8	67	no
9	74	no

Questions

What is x in 7x + 11 = 60?

The solution of 7x + 11 = 60 is x = 7.

How do you solve 7x + 11 = 60?

Subtract 11 from both sides to get 7x = 49, then divide both sides by 7 to get x = 7.

How do I check the answer?

Replace x by 7: 7(7) + 11 = 60, which is 60.

Solve 7x + 11 = 60

How to work it out

Trying values of x in 7x + 11 = 60

Questions

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