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Solve 5x + 14 = 94

The solution of 5x + 14 = 94 is x = 16.

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The lines y = 5x + 14 and y = 94 meet at x = 161012141618202260708090100110120130x = 16y = 5x + 14y = 94
The lines y = 5x + 14 and y = 94 meet at x = 16. 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=945x + 14 = 94
  2. 2

    Subtract 14 from both sides:

    5x+14−14=94−14 ⇒ 5x=805x + 14 - 14 = 94 - 14 \ \Rightarrow\ 5x = 80
  3. 3

    Divide both sides by 5:

    5x5=805 ⇒ x=16\frac{5x}{5} = \frac{80}{5} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    5⋅16+14=80+14=94✓5\cdot16 + 14 = 80 + 14 = 94 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 14 = 94\ \Rightarrow\ x = 16 \]
\[ 5x + 14 = 94 \]
\[ 5x + 14 - 14 = 94 - 14 \ \Rightarrow\ 5x = 80 \]
\[ \frac{5x}{5} = \frac{80}{5} \ \Rightarrow\ x = 16 \]
\[ 5\cdot16 + 14 = 80 + 14 = 94 \checkmark \]

Trying values of x in 5x + 14 = 94

x5x + 14Equals 94?
1484no
1589no
1694yes
1799no
18104no

Questions

What is x in 5x + 14 = 94?

The solution of 5x + 14 = 94 is x = 16.

How do you solve 5x + 14 = 94?

Subtract 14 from both sides to get 5x = 80, then divide both sides by 5 to get x = 16.

How do I check the answer?

Replace x by 16: 5(16) + 14 = 94, which is 94.

Similar equations

    Solve 5x + 14 = 94: x = 16 (steps and check) | WordGPT