Solve 7x − 6 = 92

The solution of 7x − 6 = 92 is x = 14.

7x - 6 = 92\ \Rightarrow\ x = 14

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The lines y = 7x − 6 and y = 92 meet at x = 14. 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.
$7x - 6 = 92$
2
Add 6 to both sides:
$7x - 6 + 6 = 92 + 6 \ \Rightarrow\ 7x = 98$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$7\cdot14 - 6 = 98 - 6 = 92 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = 92\ \Rightarrow\ x = 14 \]
\[ 7x - 6 = 92 \]
\[ 7x - 6 + 6 = 92 + 6 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 - 6 = 98 - 6 = 92 \checkmark \]

Trying values of x in 7x − 6 = 92

x	7x − 6	Equals 92?
12	78	no
13	85	no
14	92	yes
15	99	no
16	106	no

Questions

What is x in 7x − 6 = 92?

The solution of 7x − 6 = 92 is x = 14.

How do you solve 7x − 6 = 92?

Add 6 to both sides to get 7x = 98, then divide both sides by 7 to get x = 14.

How do I check the answer?

Replace x by 14: 7(14) − 6 = 92, which is 92.

Solve 7x − 6 = 92

How to work it out

Trying values of x in 7x − 6 = 92

Questions

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