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Solve 8x + 6 = 62

The solution of 8x + 6 = 62 is x = 7.

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The lines y = 8x + 6 and y = 62 meet at x = 72468101220406080100120x = 7y = 8x + 6y = 62
The lines y = 8x + 6 and y = 62 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+6=628x + 6 = 62
  2. 2

    Subtract 6 from both sides:

    8x+6−6=62−6 ⇒ 8x=568x + 6 - 6 = 62 - 6 \ \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+6=56+6=62✓8\cdot7 + 6 = 56 + 6 = 62 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 6 = 62\ \Rightarrow\ x = 7 \]
\[ 8x + 6 = 62 \]
\[ 8x + 6 - 6 = 62 - 6 \ \Rightarrow\ 8x = 56 \]
\[ \frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7 \]
\[ 8\cdot7 + 6 = 56 + 6 = 62 \checkmark \]

Trying values of x in 8x + 6 = 62

x8x + 6Equals 62?
546no
654no
762yes
870no
978no

Questions

What is x in 8x + 6 = 62?

The solution of 8x + 6 = 62 is x = 7.

How do you solve 8x + 6 = 62?

Subtract 6 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) + 6 = 62, which is 62.

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    Solve 8x + 6 = 62: x = 7 (steps and check) | WordGPT