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Solve 12x + 2 = 74

The solution of 12x + 2 = 74 is x = 6.

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The lines y = 12x + 2 and y = 74 meet at x = 62468101220406080100120140160x = 6y = 12x + 2y = 74
The lines y = 12x + 2 and y = 74 meet at x = 6. 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+2=7412x + 2 = 74
  2. 2

    Subtract 2 from both sides:

    12x+2−2=74−2 ⇒ 12x=7212x + 2 - 2 = 74 - 2 \ \Rightarrow\ 12x = 72
  3. 3

    Divide both sides by 12:

    12x12=7212 ⇒ x=6\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    12⋅6+2=72+2=74✓12\cdot6 + 2 = 72 + 2 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 2 = 74\ \Rightarrow\ x = 6 \]
\[ 12x + 2 = 74 \]
\[ 12x + 2 - 2 = 74 - 2 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 + 2 = 72 + 2 = 74 \checkmark \]

Trying values of x in 12x + 2 = 74

x12x + 2Equals 74?
450no
562no
674yes
786no
898no

Questions

What is x in 12x + 2 = 74?

The solution of 12x + 2 = 74 is x = 6.

How do you solve 12x + 2 = 74?

Subtract 2 from both sides to get 12x = 72, then divide both sides by 12 to get x = 6.

How do I check the answer?

Replace x by 6: 12(6) + 2 = 74, which is 74.

Similar equations

    Solve 12x + 2 = 74: x = 6 (steps and check) | WordGPT