Solve 10x − 14 = 96

The solution of 10x − 14 = 96 is x = 11.

10x - 14 = 96\ \Rightarrow\ x = 11

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

The lines y = 10x − 14 and y = 96 meet at x = 11. 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 subtraction, then the multiplication.
$10x - 14 = 96$
2
Add 14 to both sides:
$10x - 14 + 14 = 96 + 14 \ \Rightarrow\ 10x = 110$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$10\cdot11 - 14 = 110 - 14 = 96 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 14 = 96\ \Rightarrow\ x = 11 \]
\[ 10x - 14 = 96 \]
\[ 10x - 14 + 14 = 96 + 14 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 - 14 = 110 - 14 = 96 \checkmark \]

Trying values of x in 10x − 14 = 96

x	10x − 14	Equals 96?
9	76	no
10	86	no
11	96	yes
12	106	no
13	116	no

Questions

What is x in 10x − 14 = 96?

The solution of 10x − 14 = 96 is x = 11.

How do you solve 10x − 14 = 96?

Add 14 to both sides to get 10x = 110, then divide both sides by 10 to get x = 11.

How do I check the answer?

Replace x by 11: 10(11) − 14 = 96, which is 96.

Solve 10x − 14 = 96

How to work it out

Trying values of x in 10x − 14 = 96

Questions

Similar equations