Solve 8x + 1 = 25

The solution of 8x + 1 = 25 is x = 3.

8x + 1 = 25\ \Rightarrow\ x = 3

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The lines y = 8x + 1 and y = 25 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 addition, then the multiplication.
$8x + 1 = 25$
2
Subtract 1 from both sides:
$8x + 1 - 1 = 25 - 1 \ \Rightarrow\ 8x = 24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$8\cdot3 + 1 = 24 + 1 = 25 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 1 = 25\ \Rightarrow\ x = 3 \]
\[ 8x + 1 = 25 \]
\[ 8x + 1 - 1 = 25 - 1 \ \Rightarrow\ 8x = 24 \]
\[ \frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3 \]
\[ 8\cdot3 + 1 = 24 + 1 = 25 \checkmark \]

Trying values of x in 8x + 1 = 25

x	8x + 1	Equals 25?
1	9	no
2	17	no
3	25	yes
4	33	no
5	41	no

Questions

What is x in 8x + 1 = 25?

The solution of 8x + 1 = 25 is x = 3.

How do you solve 8x + 1 = 25?

Subtract 1 from 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) + 1 = 25, which is 25.

Solve 8x + 1 = 25

How to work it out

Trying values of x in 8x + 1 = 25

Questions

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