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Solve 8x + 1 = 89

The solution of 8x + 1 = 89 is x = 11.

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The lines y = 8x + 1 and y = 89 meet at x = 116810121416406080100120140x = 11y = 8x + 1y = 89
The lines y = 8x + 1 and y = 89 meet at x = 11. 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=898x + 1 = 89
  2. 2

    Subtract 1 from both sides:

    8x+1−1=89−1 ⇒ 8x=888x + 1 - 1 = 89 - 1 \ \Rightarrow\ 8x = 88
  3. 3

    Divide both sides by 8:

    8x8=888 ⇒ x=11\frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    8⋅11+1=88+1=89✓8\cdot11 + 1 = 88 + 1 = 89 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 1 = 89\ \Rightarrow\ x = 11 \]
\[ 8x + 1 = 89 \]
\[ 8x + 1 - 1 = 89 - 1 \ \Rightarrow\ 8x = 88 \]
\[ \frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11 \]
\[ 8\cdot11 + 1 = 88 + 1 = 89 \checkmark \]

Trying values of x in 8x + 1 = 89

x8x + 1Equals 89?
973no
1081no
1189yes
1297no
13105no

Questions

What is x in 8x + 1 = 89?

The solution of 8x + 1 = 89 is x = 11.

How do you solve 8x + 1 = 89?

Subtract 1 from both sides to get 8x = 88, then divide both sides by 8 to get x = 11.

How do I check the answer?

Replace x by 11: 8(11) + 1 = 89, which is 89.

Similar equations

    Solve 8x + 1 = 89: x = 11 (steps and check) | WordGPT