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Solve 12x + 14 = 74

The solution of 12x + 14 = 74 is x = 5.

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The lines y = 12x + 14 and y = 74 meet at x = 524681020406080100120140160x = 5y = 12x + 14y = 74
The lines y = 12x + 14 and y = 74 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.

    12x+14=7412x + 14 = 74
  2. 2

    Subtract 14 from both sides:

    12x+14−14=74−14 ⇒ 12x=6012x + 14 - 14 = 74 - 14 \ \Rightarrow\ 12x = 60
  3. 3

    Divide both sides by 12:

    12x12=6012 ⇒ x=5\frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    12⋅5+14=60+14=74✓12\cdot5 + 14 = 60 + 14 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 74\ \Rightarrow\ x = 5 \]
\[ 12x + 14 = 74 \]
\[ 12x + 14 - 14 = 74 - 14 \ \Rightarrow\ 12x = 60 \]
\[ \frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5 \]
\[ 12\cdot5 + 14 = 60 + 14 = 74 \checkmark \]

Trying values of x in 12x + 14 = 74

x12x + 14Equals 74?
350no
462no
574yes
686no
798no

Questions

What is x in 12x + 14 = 74?

The solution of 12x + 14 = 74 is x = 5.

How do you solve 12x + 14 = 74?

Subtract 14 from both sides to get 12x = 60, then divide both sides by 12 to get x = 5.

How do I check the answer?

Replace x by 5: 12(5) + 14 = 74, which is 74.

Similar equations

    Solve 12x + 14 = 74: x = 5 (steps and check) | WordGPT