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Solve 4x + 14 = 94

The solution of 4x + 14 = 94 is x = 20.

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The lines y = 4x + 14 and y = 94 meet at x = 2014161820222426708090100110120x = 20y = 4x + 14y = 94
The lines y = 4x + 14 and y = 94 meet at x = 20. 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.

    4x+14=944x + 14 = 94
  2. 2

    Subtract 14 from both sides:

    4x+14−14=94−14 ⇒ 4x=804x + 14 - 14 = 94 - 14 \ \Rightarrow\ 4x = 80
  3. 3

    Divide both sides by 4:

    4x4=804 ⇒ x=20\frac{4x}{4} = \frac{80}{4} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    4⋅20+14=80+14=94✓4\cdot20 + 14 = 80 + 14 = 94 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 14 = 94\ \Rightarrow\ x = 20 \]
\[ 4x + 14 = 94 \]
\[ 4x + 14 - 14 = 94 - 14 \ \Rightarrow\ 4x = 80 \]
\[ \frac{4x}{4} = \frac{80}{4} \ \Rightarrow\ x = 20 \]
\[ 4\cdot20 + 14 = 80 + 14 = 94 \checkmark \]

Trying values of x in 4x + 14 = 94

x4x + 14Equals 94?
1886no
1990no
2094yes
2198no
22102no

Questions

What is x in 4x + 14 = 94?

The solution of 4x + 14 = 94 is x = 20.

How do you solve 4x + 14 = 94?

Subtract 14 from both sides to get 4x = 80, then divide both sides by 4 to get x = 20.

How do I check the answer?

Replace x by 20: 4(20) + 14 = 94, which is 94.

Similar equations

    Solve 4x + 14 = 94: x = 20 (steps and check) | WordGPT