Solve 7x + 11 = 109

The solution of 7x + 11 = 109 is x = 14.

7x + 11 = 109\ \Rightarrow\ x = 14

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The lines y = 7x + 11 and y = 109 meet at x = 14. 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.
$7x + 11 = 109$
2
Subtract 11 from both sides:
$7x + 11 - 11 = 109 - 11 \ \Rightarrow\ 7x = 98$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$7\cdot14 + 11 = 98 + 11 = 109 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 11 = 109\ \Rightarrow\ x = 14 \]
\[ 7x + 11 = 109 \]
\[ 7x + 11 - 11 = 109 - 11 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 + 11 = 98 + 11 = 109 \checkmark \]

Trying values of x in 7x + 11 = 109

x	7x + 11	Equals 109?
12	95	no
13	102	no
14	109	yes
15	116	no
16	123	no

Questions

What is x in 7x + 11 = 109?

The solution of 7x + 11 = 109 is x = 14.

How do you solve 7x + 11 = 109?

Subtract 11 from both sides to get 7x = 98, then divide both sides by 7 to get x = 14.

How do I check the answer?

Replace x by 14: 7(14) + 11 = 109, which is 109.

Solve 7x + 11 = 109

How to work it out

Trying values of x in 7x + 11 = 109

Questions

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