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Solve 8x + 1 = 57

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

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The lines y = 8x + 1 and y = 57 meet at x = 72468101220406080100x = 7y = 8x + 1y = 57
The lines y = 8x + 1 and y = 57 meet at x = 7. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    8x+1=578x + 1 = 57
  2. 2

    Subtract 1 from both sides:

    8x+1−1=57−1 ⇒ 8x=568x + 1 - 1 = 57 - 1 \ \Rightarrow\ 8x = 56
  3. 3

    Divide both sides by 8:

    8x8=568 ⇒ x=7\frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    8⋅7+1=56+1=57✓8\cdot7 + 1 = 56 + 1 = 57 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 1 = 57\ \Rightarrow\ x = 7 \]
\[ 8x + 1 = 57 \]
\[ 8x + 1 - 1 = 57 - 1 \ \Rightarrow\ 8x = 56 \]
\[ \frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7 \]
\[ 8\cdot7 + 1 = 56 + 1 = 57 \checkmark \]

Trying values of x in 8x + 1 = 57

x8x + 1Equals 57?
541no
649no
757yes
865no
973no

Questions

What is x in 8x + 1 = 57?

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

How do you solve 8x + 1 = 57?

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

How do I check the answer?

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

Similar equations

    Solve 8x + 1 = 57: x = 7 (steps and check) | WordGPT