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Solve 8x + 14 = 30

The solution of 8x + 14 = 30 is x = 2.

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The lines y = 8x + 14 and y = 30 meet at x = 2-4-22468-2020406080x = 2y = 8x + 14y = 30
The lines y = 8x + 14 and y = 30 meet at x = 2. 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+14=308x + 14 = 30
  2. 2

    Subtract 14 from both sides:

    8x+14−14=30−14 ⇒ 8x=168x + 14 - 14 = 30 - 14 \ \Rightarrow\ 8x = 16
  3. 3

    Divide both sides by 8:

    8x8=168 ⇒ x=2\frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    8⋅2+14=16+14=30✓8\cdot2 + 14 = 16 + 14 = 30 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 30\ \Rightarrow\ x = 2 \]
\[ 8x + 14 = 30 \]
\[ 8x + 14 - 14 = 30 - 14 \ \Rightarrow\ 8x = 16 \]
\[ \frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2 \]
\[ 8\cdot2 + 14 = 16 + 14 = 30 \checkmark \]

Trying values of x in 8x + 14 = 30

x8x + 14Equals 30?
014no
122no
230yes
338no
446no

Questions

What is x in 8x + 14 = 30?

The solution of 8x + 14 = 30 is x = 2.

How do you solve 8x + 14 = 30?

Subtract 14 from both sides to get 8x = 16, then divide both sides by 8 to get x = 2.

How do I check the answer?

Replace x by 2: 8(2) + 14 = 30, which is 30.

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