Solve 7x + 14 = 105

The solution of 7x + 14 = 105 is x = 13.

7x + 14 = 105\ \Rightarrow\ x = 13

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The lines y = 7x + 14 and y = 105 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 addition, then the multiplication.
$7x + 14 = 105$
2
Subtract 14 from both sides:
$7x + 14 - 14 = 105 - 14 \ \Rightarrow\ 7x = 91$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$7\cdot13 + 14 = 91 + 14 = 105 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 14 = 105\ \Rightarrow\ x = 13 \]
\[ 7x + 14 = 105 \]
\[ 7x + 14 - 14 = 105 - 14 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 14 = 91 + 14 = 105 \checkmark \]

Trying values of x in 7x + 14 = 105

x	7x + 14	Equals 105?
11	91	no
12	98	no
13	105	yes
14	112	no
15	119	no

Questions

What is x in 7x + 14 = 105?

The solution of 7x + 14 = 105 is x = 13.

How do you solve 7x + 14 = 105?

Subtract 14 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 14 = 105, which is 105.

Solve 7x + 14 = 105

How to work it out

Trying values of x in 7x + 14 = 105

Questions

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