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Solve 8x + 7 = 71

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

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The lines y = 8x + 7 and y = 71 meet at x = 8246810121420406080100120x = 8y = 8x + 7y = 71
The lines y = 8x + 7 and y = 71 meet at x = 8. 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+7=718x + 7 = 71
  2. 2

    Subtract 7 from both sides:

    8x+7−7=71−7 ⇒ 8x=648x + 7 - 7 = 71 - 7 \ \Rightarrow\ 8x = 64
  3. 3

    Divide both sides by 8:

    8x8=648 ⇒ x=8\frac{8x}{8} = \frac{64}{8} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    8⋅8+7=64+7=71✓8\cdot8 + 7 = 64 + 7 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 7 = 71\ \Rightarrow\ x = 8 \]
\[ 8x + 7 = 71 \]
\[ 8x + 7 - 7 = 71 - 7 \ \Rightarrow\ 8x = 64 \]
\[ \frac{8x}{8} = \frac{64}{8} \ \Rightarrow\ x = 8 \]
\[ 8\cdot8 + 7 = 64 + 7 = 71 \checkmark \]

Trying values of x in 8x + 7 = 71

x8x + 7Equals 71?
655no
763no
871yes
979no
1087no

Questions

What is x in 8x + 7 = 71?

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

How do you solve 8x + 7 = 71?

Subtract 7 from both sides to get 8x = 64, then divide both sides by 8 to get x = 8.

How do I check the answer?

Replace x by 8: 8(8) + 7 = 71, which is 71.

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