Solve 5x − 6 = 79

The solution of 5x − 6 = 79 is x = 17.

5x - 6 = 79\ \Rightarrow\ x = 17

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The lines y = 5x − 6 and y = 79 meet at x = 17. 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.
$5x - 6 = 79$
2
Add 6 to both sides:
$5x - 6 + 6 = 79 + 6 \ \Rightarrow\ 5x = 85$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$5\cdot17 - 6 = 85 - 6 = 79 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 6 = 79\ \Rightarrow\ x = 17 \]
\[ 5x - 6 = 79 \]
\[ 5x - 6 + 6 = 79 + 6 \ \Rightarrow\ 5x = 85 \]
\[ \frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17 \]
\[ 5\cdot17 - 6 = 85 - 6 = 79 \checkmark \]

Trying values of x in 5x − 6 = 79

x	5x − 6	Equals 79?
15	69	no
16	74	no
17	79	yes
18	84	no
19	89	no

Questions

What is x in 5x − 6 = 79?

The solution of 5x − 6 = 79 is x = 17.

How do you solve 5x − 6 = 79?

Add 6 to both sides to get 5x = 85, then divide both sides by 5 to get x = 17.

How do I check the answer?

Replace x by 17: 5(17) − 6 = 79, which is 79.

Solve 5x − 6 = 79

How to work it out

Trying values of x in 5x − 6 = 79

Questions

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