Solve 7x + 11 = 116

The solution of 7x + 11 = 116 is x = 15.

7x + 11 = 116\ \Rightarrow\ x = 15

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The lines y = 7x + 11 and y = 116 meet at x = 15. 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.
$7x + 11 = 116$
2
Subtract 11 from both sides:
$7x + 11 - 11 = 116 - 11 \ \Rightarrow\ 7x = 105$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$7\cdot15 + 11 = 105 + 11 = 116 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 11 = 116\ \Rightarrow\ x = 15 \]
\[ 7x + 11 = 116 \]
\[ 7x + 11 - 11 = 116 - 11 \ \Rightarrow\ 7x = 105 \]
\[ \frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15 \]
\[ 7\cdot15 + 11 = 105 + 11 = 116 \checkmark \]

Trying values of x in 7x + 11 = 116

x	7x + 11	Equals 116?
13	102	no
14	109	no
15	116	yes
16	123	no
17	130	no

Questions

What is x in 7x + 11 = 116?

The solution of 7x + 11 = 116 is x = 15.

How do you solve 7x + 11 = 116?

Subtract 11 from both sides to get 7x = 105, then divide both sides by 7 to get x = 15.

How do I check the answer?

Replace x by 15: 7(15) + 11 = 116, which is 116.

Solve 7x + 11 = 116

How to work it out

Trying values of x in 7x + 11 = 116

Questions

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