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Solve 8x + 15 = 71

The solution of 8x + 15 = 71 is x = 7.

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The lines y = 8x + 15 and y = 71 meet at x = 72468101220406080100120x = 7y = 8x + 15y = 71
The lines y = 8x + 15 and y = 71 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+15=718x + 15 = 71
  2. 2

    Subtract 15 from both sides:

    8x+15−15=71−15 ⇒ 8x=568x + 15 - 15 = 71 - 15 \ \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+15=56+15=71✓8\cdot7 + 15 = 56 + 15 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 15 = 71\ \Rightarrow\ x = 7 \]
\[ 8x + 15 = 71 \]
\[ 8x + 15 - 15 = 71 - 15 \ \Rightarrow\ 8x = 56 \]
\[ \frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7 \]
\[ 8\cdot7 + 15 = 56 + 15 = 71 \checkmark \]

Trying values of x in 8x + 15 = 71

x8x + 15Equals 71?
555no
663no
771yes
879no
987no

Questions

What is x in 8x + 15 = 71?

The solution of 8x + 15 = 71 is x = 7.

How do you solve 8x + 15 = 71?

Subtract 15 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) + 15 = 71, which is 71.

Similar equations

    Solve 8x + 15 = 71: x = 7 (steps and check) | WordGPT