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Solve 4x + 14 = 34

The solution of 4x + 14 = 34 is x = 5.

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The lines y = 4x + 14 and y = 34 meet at x = 5246810102030405060x = 5y = 4x + 14y = 34
The lines y = 4x + 14 and y = 34 meet at x = 5. 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.

    4x+14=344x + 14 = 34
  2. 2

    Subtract 14 from both sides:

    4x+14−14=34−14 ⇒ 4x=204x + 14 - 14 = 34 - 14 \ \Rightarrow\ 4x = 20
  3. 3

    Divide both sides by 4:

    4x4=204 ⇒ x=5\frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    4⋅5+14=20+14=34✓4\cdot5 + 14 = 20 + 14 = 34 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 14 = 34\ \Rightarrow\ x = 5 \]
\[ 4x + 14 = 34 \]
\[ 4x + 14 - 14 = 34 - 14 \ \Rightarrow\ 4x = 20 \]
\[ \frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5 \]
\[ 4\cdot5 + 14 = 20 + 14 = 34 \checkmark \]

Trying values of x in 4x + 14 = 34

x4x + 14Equals 34?
326no
430no
534yes
638no
742no

Questions

What is x in 4x + 14 = 34?

The solution of 4x + 14 = 34 is x = 5.

How do you solve 4x + 14 = 34?

Subtract 14 from both sides to get 4x = 20, then divide both sides by 4 to get x = 5.

How do I check the answer?

Replace x by 5: 4(5) + 14 = 34, which is 34.

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    Solve 4x + 14 = 34: x = 5 (steps and check) | WordGPT