Solve 8x − 7 = 17

The solution of 8x − 7 = 17 is x = 3.

8x - 7 = 17\ \Rightarrow\ x = 3

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The lines y = 8x − 7 and y = 17 meet at x = 3. 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.
$8x - 7 = 17$
2
Add 7 to both sides:
$8x - 7 + 7 = 17 + 7 \ \Rightarrow\ 8x = 24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$8\cdot3 - 7 = 24 - 7 = 17 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 7 = 17\ \Rightarrow\ x = 3 \]
\[ 8x - 7 = 17 \]
\[ 8x - 7 + 7 = 17 + 7 \ \Rightarrow\ 8x = 24 \]
\[ \frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3 \]
\[ 8\cdot3 - 7 = 24 - 7 = 17 \checkmark \]

Trying values of x in 8x − 7 = 17

x	8x − 7	Equals 17?
1	1	no
2	9	no
3	17	yes
4	25	no
5	33	no

Questions

What is x in 8x − 7 = 17?

The solution of 8x − 7 = 17 is x = 3.

How do you solve 8x − 7 = 17?

Add 7 to both sides to get 8x = 24, then divide both sides by 8 to get x = 3.

How do I check the answer?

Replace x by 3: 8(3) − 7 = 17, which is 17.

Solve 8x − 7 = 17

How to work it out

Trying values of x in 8x − 7 = 17

Questions

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