Solve 7x − 12 = 114

The solution of 7x − 12 = 114 is x = 18.

7x - 12 = 114\ \Rightarrow\ x = 18

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

The lines y = 7x − 12 and y = 114 meet at x = 18. 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.
$7x - 12 = 114$
2
Add 12 to both sides:
$7x - 12 + 12 = 114 + 12 \ \Rightarrow\ 7x = 126$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{126}{7} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$7\cdot18 - 12 = 126 - 12 = 114 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 12 = 114\ \Rightarrow\ x = 18 \]
\[ 7x - 12 = 114 \]
\[ 7x - 12 + 12 = 114 + 12 \ \Rightarrow\ 7x = 126 \]
\[ \frac{7x}{7} = \frac{126}{7} \ \Rightarrow\ x = 18 \]
\[ 7\cdot18 - 12 = 126 - 12 = 114 \checkmark \]

Trying values of x in 7x − 12 = 114

x	7x − 12	Equals 114?
16	100	no
17	107	no
18	114	yes
19	121	no
20	128	no

Questions

What is x in 7x − 12 = 114?

The solution of 7x − 12 = 114 is x = 18.

How do you solve 7x − 12 = 114?

Add 12 to both sides to get 7x = 126, then divide both sides by 7 to get x = 18.

How do I check the answer?

Replace x by 18: 7(18) − 12 = 114, which is 114.

Solve 7x − 12 = 114

How to work it out

Trying values of x in 7x − 12 = 114

Questions

Similar equations