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Solve 2x + 14 = 30

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

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The lines y = 2x + 14 and y = 30 meet at x = 824681012142025303540x = 8y = 2x + 14y = 30
The lines y = 2x + 14 and y = 30 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.

    2x+14=302x + 14 = 30
  2. 2

    Subtract 14 from both sides:

    2x+14−14=30−14 ⇒ 2x=162x + 14 - 14 = 30 - 14 \ \Rightarrow\ 2x = 16
  3. 3

    Divide both sides by 2:

    2x2=162 ⇒ x=8\frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    2⋅8+14=16+14=30✓2\cdot8 + 14 = 16 + 14 = 30 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 30\ \Rightarrow\ x = 8 \]
\[ 2x + 14 = 30 \]
\[ 2x + 14 - 14 = 30 - 14 \ \Rightarrow\ 2x = 16 \]
\[ \frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8 \]
\[ 2\cdot8 + 14 = 16 + 14 = 30 \checkmark \]

Trying values of x in 2x + 14 = 30

x2x + 14Equals 30?
626no
728no
830yes
932no
1034no

Questions

What is x in 2x + 14 = 30?

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

How do you solve 2x + 14 = 30?

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

How do I check the answer?

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

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    Solve 2x + 14 = 30: x = 8 (steps and check) | WordGPT