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Solve 7x + 14 = 98

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

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The lines y = 7x + 14 and y = 98 meet at x = 126810121416186080100120140x = 12y = 7x + 14y = 98
The lines y = 7x + 14 and y = 98 meet at x = 12. 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.

    7x+14=987x + 14 = 98
  2. 2

    Subtract 14 from both sides:

    7x+14−14=98−14 ⇒ 7x=847x + 14 - 14 = 98 - 14 \ \Rightarrow\ 7x = 84
  3. 3

    Divide both sides by 7:

    7x7=847 ⇒ x=12\frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    7⋅12+14=84+14=98✓7\cdot12 + 14 = 84 + 14 = 98 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 98\ \Rightarrow\ x = 12 \]
\[ 7x + 14 = 98 \]
\[ 7x + 14 - 14 = 98 - 14 \ \Rightarrow\ 7x = 84 \]
\[ \frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12 \]
\[ 7\cdot12 + 14 = 84 + 14 = 98 \checkmark \]

Trying values of x in 7x + 14 = 98

x7x + 14Equals 98?
1084no
1191no
1298yes
13105no
14112no

Questions

What is x in 7x + 14 = 98?

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

How do you solve 7x + 14 = 98?

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

How do I check the answer?

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

Similar equations

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