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Solve 4x + 14 = 74

The solution of 4x + 14 = 74 is x = 15.

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The lines y = 4x + 14 and y = 74 meet at x = 151012141618205060708090100x = 15y = 4x + 14y = 74
The lines y = 4x + 14 and y = 74 meet at x = 15. 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=744x + 14 = 74
  2. 2

    Subtract 14 from both sides:

    4x+14−14=74−14 ⇒ 4x=604x + 14 - 14 = 74 - 14 \ \Rightarrow\ 4x = 60
  3. 3

    Divide both sides by 4:

    4x4=604 ⇒ x=15\frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    4⋅15+14=60+14=74✓4\cdot15 + 14 = 60 + 14 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 14 = 74\ \Rightarrow\ x = 15 \]
\[ 4x + 14 = 74 \]
\[ 4x + 14 - 14 = 74 - 14 \ \Rightarrow\ 4x = 60 \]
\[ \frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15 \]
\[ 4\cdot15 + 14 = 60 + 14 = 74 \checkmark \]

Trying values of x in 4x + 14 = 74

x4x + 14Equals 74?
1366no
1470no
1574yes
1678no
1782no

Questions

What is x in 4x + 14 = 74?

The solution of 4x + 14 = 74 is x = 15.

How do you solve 4x + 14 = 74?

Subtract 14 from both sides to get 4x = 60, then divide both sides by 4 to get x = 15.

How do I check the answer?

Replace x by 15: 4(15) + 14 = 74, which is 74.

Similar equations

    Solve 4x + 14 = 74: x = 15 (steps and check) | WordGPT