Solve 8x + 14 = 118

The solution of 8x + 14 = 118 is x = 13.

8x + 14 = 118\ \Rightarrow\ x = 13

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The lines y = 8x + 14 and y = 118 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.
$8x + 14 = 118$
2
Subtract 14 from both sides:
$8x + 14 - 14 = 118 - 14 \ \Rightarrow\ 8x = 104$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$8\cdot13 + 14 = 104 + 14 = 118 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 14 = 118\ \Rightarrow\ x = 13 \]
\[ 8x + 14 = 118 \]
\[ 8x + 14 - 14 = 118 - 14 \ \Rightarrow\ 8x = 104 \]
\[ \frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13 \]
\[ 8\cdot13 + 14 = 104 + 14 = 118 \checkmark \]

Trying values of x in 8x + 14 = 118

x	8x + 14	Equals 118?
11	102	no
12	110	no
13	118	yes
14	126	no
15	134	no

Questions

What is x in 8x + 14 = 118?

The solution of 8x + 14 = 118 is x = 13.

How do you solve 8x + 14 = 118?

Subtract 14 from both sides to get 8x = 104, then divide both sides by 8 to get x = 13.

How do I check the answer?

Replace x by 13: 8(13) + 14 = 118, which is 118.

Solve 8x + 14 = 118

How to work it out

Trying values of x in 8x + 14 = 118

Questions

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