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Solve 12x + 14 = 98

The solution of 12x + 14 = 98 is x = 7.

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The lines y = 12x + 14 and y = 98 meet at x = 72468101220406080100120140160180x = 7y = 12x + 14y = 98
The lines y = 12x + 14 and y = 98 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.

    12x+14=9812x + 14 = 98
  2. 2

    Subtract 14 from both sides:

    12x+14−14=98−14 ⇒ 12x=8412x + 14 - 14 = 98 - 14 \ \Rightarrow\ 12x = 84
  3. 3

    Divide both sides by 12:

    12x12=8412 ⇒ x=7\frac{12x}{12} = \frac{84}{12} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    12⋅7+14=84+14=98✓12\cdot7 + 14 = 84 + 14 = 98 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 98\ \Rightarrow\ x = 7 \]
\[ 12x + 14 = 98 \]
\[ 12x + 14 - 14 = 98 - 14 \ \Rightarrow\ 12x = 84 \]
\[ \frac{12x}{12} = \frac{84}{12} \ \Rightarrow\ x = 7 \]
\[ 12\cdot7 + 14 = 84 + 14 = 98 \checkmark \]

Trying values of x in 12x + 14 = 98

x12x + 14Equals 98?
574no
686no
798yes
8110no
9122no

Questions

What is x in 12x + 14 = 98?

The solution of 12x + 14 = 98 is x = 7.

How do you solve 12x + 14 = 98?

Subtract 14 from both sides to get 12x = 84, then divide both sides by 12 to get x = 7.

How do I check the answer?

Replace x by 7: 12(7) + 14 = 98, which is 98.

Similar equations

    Solve 12x + 14 = 98: x = 7 (steps and check) | WordGPT