Solve 7x + 1 = 57

The solution of 7x + 1 = 57 is x = 8.

7x + 1 = 57\ \Rightarrow\ x = 8

Explain it step by step in chat Make a short video of it

The lines y = 7x + 1 and y = 57 meet at x = 8. 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.
$7x + 1 = 57$
2
Subtract 1 from both sides:
$7x + 1 - 1 = 57 - 1 \ \Rightarrow\ 7x = 56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$7\cdot8 + 1 = 56 + 1 = 57 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 1 = 57\ \Rightarrow\ x = 8 \]
\[ 7x + 1 = 57 \]
\[ 7x + 1 - 1 = 57 - 1 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 + 1 = 56 + 1 = 57 \checkmark \]

Trying values of x in 7x + 1 = 57

x	7x + 1	Equals 57?
6	43	no
7	50	no
8	57	yes
9	64	no
10	71	no

Questions

What is x in 7x + 1 = 57?

The solution of 7x + 1 = 57 is x = 8.

How do you solve 7x + 1 = 57?

Subtract 1 from both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) + 1 = 57, which is 57.

Solve 7x + 1 = 57

How to work it out

Trying values of x in 7x + 1 = 57

Questions

Similar equations