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Solve 5x + 14 = 104

The solution of 5x + 14 = 104 is x = 18.

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The lines y = 5x + 14 and y = 104 meet at x = 1812141618202224708090100110120130140x = 18y = 5x + 14y = 104
The lines y = 5x + 14 and y = 104 meet at x = 18. 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.

    5x+14=1045x + 14 = 104
  2. 2

    Subtract 14 from both sides:

    5x+14−14=104−14 ⇒ 5x=905x + 14 - 14 = 104 - 14 \ \Rightarrow\ 5x = 90
  3. 3

    Divide both sides by 5:

    5x5=905 ⇒ x=18\frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    5⋅18+14=90+14=104✓5\cdot18 + 14 = 90 + 14 = 104 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 14 = 104\ \Rightarrow\ x = 18 \]
\[ 5x + 14 = 104 \]
\[ 5x + 14 - 14 = 104 - 14 \ \Rightarrow\ 5x = 90 \]
\[ \frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18 \]
\[ 5\cdot18 + 14 = 90 + 14 = 104 \checkmark \]

Trying values of x in 5x + 14 = 104

x5x + 14Equals 104?
1694no
1799no
18104yes
19109no
20114no

Questions

What is x in 5x + 14 = 104?

The solution of 5x + 14 = 104 is x = 18.

How do you solve 5x + 14 = 104?

Subtract 14 from both sides to get 5x = 90, then divide both sides by 5 to get x = 18.

How do I check the answer?

Replace x by 18: 5(18) + 14 = 104, which is 104.

Similar equations

    Solve 5x + 14 = 104: x = 18 (steps and check) | WordGPT