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Solve 4x + 14 = 66

The solution of 4x + 14 = 66 is x = 13.

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The lines y = 4x + 14 and y = 66 meet at x = 1381012141618405060708090x = 13y = 4x + 14y = 66
The lines y = 4x + 14 and y = 66 meet at x = 13. 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=664x + 14 = 66
  2. 2

    Subtract 14 from both sides:

    4x+14−14=66−14 ⇒ 4x=524x + 14 - 14 = 66 - 14 \ \Rightarrow\ 4x = 52
  3. 3

    Divide both sides by 4:

    4x4=524 ⇒ x=13\frac{4x}{4} = \frac{52}{4} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    4⋅13+14=52+14=66✓4\cdot13 + 14 = 52 + 14 = 66 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 14 = 66\ \Rightarrow\ x = 13 \]
\[ 4x + 14 = 66 \]
\[ 4x + 14 - 14 = 66 - 14 \ \Rightarrow\ 4x = 52 \]
\[ \frac{4x}{4} = \frac{52}{4} \ \Rightarrow\ x = 13 \]
\[ 4\cdot13 + 14 = 52 + 14 = 66 \checkmark \]

Trying values of x in 4x + 14 = 66

x4x + 14Equals 66?
1158no
1262no
1366yes
1470no
1574no

Questions

What is x in 4x + 14 = 66?

The solution of 4x + 14 = 66 is x = 13.

How do you solve 4x + 14 = 66?

Subtract 14 from both sides to get 4x = 52, then divide both sides by 4 to get x = 13.

How do I check the answer?

Replace x by 13: 4(13) + 14 = 66, which is 66.

Similar equations

    Solve 4x + 14 = 66: x = 13 (steps and check) | WordGPT