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Solve 8x + 6 = 54

The solution of 8x + 6 = 54 is x = 6.

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The lines y = 8x + 6 and y = 54 meet at x = 62468101220406080100x = 6y = 8x + 6y = 54
The lines y = 8x + 6 and y = 54 meet at x = 6. 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=548x + 6 = 54
  2. 2

    Subtract 6 from both sides:

    8x+6−6=54−6 ⇒ 8x=488x + 6 - 6 = 54 - 6 \ \Rightarrow\ 8x = 48
  3. 3

    Divide both sides by 8:

    8x8=488 ⇒ x=6\frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    8⋅6+6=48+6=54✓8\cdot6 + 6 = 48 + 6 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 6 = 54\ \Rightarrow\ x = 6 \]
\[ 8x + 6 = 54 \]
\[ 8x + 6 - 6 = 54 - 6 \ \Rightarrow\ 8x = 48 \]
\[ \frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6 \]
\[ 8\cdot6 + 6 = 48 + 6 = 54 \checkmark \]

Trying values of x in 8x + 6 = 54

x8x + 6Equals 54?
438no
546no
654yes
762no
870no

Questions

What is x in 8x + 6 = 54?

The solution of 8x + 6 = 54 is x = 6.

How do you solve 8x + 6 = 54?

Subtract 6 from both sides to get 8x = 48, then divide both sides by 8 to get x = 6.

How do I check the answer?

Replace x by 6: 8(6) + 6 = 54, which is 54.

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    Solve 8x + 6 = 54: x = 6 (steps and check) | WordGPT