Solve 8x + 14 = 142

The solution of 8x + 14 = 142 is x = 16.

8x + 14 = 142\ \Rightarrow\ x = 16

Explain it step by step in chat Make a short video of it

The lines y = 8x + 14 and y = 142 meet at x = 16. 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.
$8x + 14 = 142$
2
Subtract 14 from both sides:
$8x + 14 - 14 = 142 - 14 \ \Rightarrow\ 8x = 128$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$8\cdot16 + 14 = 128 + 14 = 142 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 14 = 142\ \Rightarrow\ x = 16 \]
\[ 8x + 14 = 142 \]
\[ 8x + 14 - 14 = 142 - 14 \ \Rightarrow\ 8x = 128 \]
\[ \frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16 \]
\[ 8\cdot16 + 14 = 128 + 14 = 142 \checkmark \]

Trying values of x in 8x + 14 = 142

x	8x + 14	Equals 142?
14	126	no
15	134	no
16	142	yes
17	150	no
18	158	no

Questions

What is x in 8x + 14 = 142?

The solution of 8x + 14 = 142 is x = 16.

How do you solve 8x + 14 = 142?

Subtract 14 from both sides to get 8x = 128, then divide both sides by 8 to get x = 16.

How do I check the answer?

Replace x by 16: 8(16) + 14 = 142, which is 142.

Solve 8x + 14 = 142

How to work it out

Trying values of x in 8x + 14 = 142

Questions

Similar equations