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Solve 4x + 14 = 42

The solution of 4x + 14 = 42 is x = 7.

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The lines y = 4x + 14 and y = 42 meet at x = 724681012203040506070x = 7y = 4x + 14y = 42
The lines y = 4x + 14 and y = 42 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.

    4x+14=424x + 14 = 42
  2. 2

    Subtract 14 from both sides:

    4x+14−14=42−14 ⇒ 4x=284x + 14 - 14 = 42 - 14 \ \Rightarrow\ 4x = 28
  3. 3

    Divide both sides by 4:

    4x4=284 ⇒ x=7\frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    4⋅7+14=28+14=42✓4\cdot7 + 14 = 28 + 14 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 14 = 42\ \Rightarrow\ x = 7 \]
\[ 4x + 14 = 42 \]
\[ 4x + 14 - 14 = 42 - 14 \ \Rightarrow\ 4x = 28 \]
\[ \frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7 \]
\[ 4\cdot7 + 14 = 28 + 14 = 42 \checkmark \]

Trying values of x in 4x + 14 = 42

x4x + 14Equals 42?
534no
638no
742yes
846no
950no

Questions

What is x in 4x + 14 = 42?

The solution of 4x + 14 = 42 is x = 7.

How do you solve 4x + 14 = 42?

Subtract 14 from both sides to get 4x = 28, then divide both sides by 4 to get x = 7.

How do I check the answer?

Replace x by 7: 4(7) + 14 = 42, which is 42.

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    Solve 4x + 14 = 42: x = 7 (steps and check) | WordGPT