Solve 7x − 8 = 83

The solution of 7x − 8 = 83 is x = 13.

7x - 8 = 83\ \Rightarrow\ x = 13

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The lines y = 7x − 8 and y = 83 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 subtraction, then the multiplication.
$7x - 8 = 83$
2
Add 8 to both sides:
$7x - 8 + 8 = 83 + 8 \ \Rightarrow\ 7x = 91$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$7\cdot13 - 8 = 91 - 8 = 83 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 8 = 83\ \Rightarrow\ x = 13 \]
\[ 7x - 8 = 83 \]
\[ 7x - 8 + 8 = 83 + 8 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 - 8 = 91 - 8 = 83 \checkmark \]

Trying values of x in 7x − 8 = 83

x	7x − 8	Equals 83?
11	69	no
12	76	no
13	83	yes
14	90	no
15	97	no

Questions

What is x in 7x − 8 = 83?

The solution of 7x − 8 = 83 is x = 13.

How do you solve 7x − 8 = 83?

Add 8 to both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) − 8 = 83, which is 83.

Solve 7x − 8 = 83

How to work it out

Trying values of x in 7x − 8 = 83

Questions

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