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Solve 8x + 1 = 113

The solution of 8x + 1 = 113 is x = 14.

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The lines y = 8x + 1 and y = 113 meet at x = 1481012141618206080100120140160x = 14y = 8x + 1y = 113
The lines y = 8x + 1 and y = 113 meet at x = 14. 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=1138x + 1 = 113
  2. 2

    Subtract 1 from both sides:

    8x+1−1=113−1 ⇒ 8x=1128x + 1 - 1 = 113 - 1 \ \Rightarrow\ 8x = 112
  3. 3

    Divide both sides by 8:

    8x8=1128 ⇒ x=14\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    8⋅14+1=112+1=113✓8\cdot14 + 1 = 112 + 1 = 113 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 1 = 113\ \Rightarrow\ x = 14 \]
\[ 8x + 1 = 113 \]
\[ 8x + 1 - 1 = 113 - 1 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 + 1 = 112 + 1 = 113 \checkmark \]

Trying values of x in 8x + 1 = 113

x8x + 1Equals 113?
1297no
13105no
14113yes
15121no
16129no

Questions

What is x in 8x + 1 = 113?

The solution of 8x + 1 = 113 is x = 14.

How do you solve 8x + 1 = 113?

Subtract 1 from both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) + 1 = 113, which is 113.

Similar equations

    Solve 8x + 1 = 113: x = 14 (steps and check) | WordGPT