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Solve 8x + 5 = 61

The solution of 8x + 5 = 61 is x = 7.

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The lines y = 8x + 5 and y = 61 meet at x = 72468101220406080100x = 7y = 8x + 5y = 61
The lines y = 8x + 5 and y = 61 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+5=618x + 5 = 61
  2. 2

    Subtract 5 from both sides:

    8x+5−5=61−5 ⇒ 8x=568x + 5 - 5 = 61 - 5 \ \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+5=56+5=61✓8\cdot7 + 5 = 56 + 5 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 5 = 61\ \Rightarrow\ x = 7 \]
\[ 8x + 5 = 61 \]
\[ 8x + 5 - 5 = 61 - 5 \ \Rightarrow\ 8x = 56 \]
\[ \frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7 \]
\[ 8\cdot7 + 5 = 56 + 5 = 61 \checkmark \]

Trying values of x in 8x + 5 = 61

x8x + 5Equals 61?
545no
653no
761yes
869no
977no

Questions

What is x in 8x + 5 = 61?

The solution of 8x + 5 = 61 is x = 7.

How do you solve 8x + 5 = 61?

Subtract 5 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) + 5 = 61, which is 61.

Similar equations

    Solve 8x + 5 = 61: x = 7 (steps and check) | WordGPT