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Solve 3x + 14 = 74

The solution of 3x + 14 = 74 is x = 20.

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The lines y = 3x + 14 and y = 74 meet at x = 2014161820222426556065707580859095x = 20y = 3x + 14y = 74
The lines y = 3x + 14 and y = 74 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.

    3x+14=743x + 14 = 74
  2. 2

    Subtract 14 from both sides:

    3x+14−14=74−14 ⇒ 3x=603x + 14 - 14 = 74 - 14 \ \Rightarrow\ 3x = 60
  3. 3

    Divide both sides by 3:

    3x3=603 ⇒ x=20\frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    3⋅20+14=60+14=74✓3\cdot20 + 14 = 60 + 14 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 74\ \Rightarrow\ x = 20 \]
\[ 3x + 14 = 74 \]
\[ 3x + 14 - 14 = 74 - 14 \ \Rightarrow\ 3x = 60 \]
\[ \frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20 \]
\[ 3\cdot20 + 14 = 60 + 14 = 74 \checkmark \]

Trying values of x in 3x + 14 = 74

x3x + 14Equals 74?
1868no
1971no
2074yes
2177no
2280no

Questions

What is x in 3x + 14 = 74?

The solution of 3x + 14 = 74 is x = 20.

How do you solve 3x + 14 = 74?

Subtract 14 from both sides to get 3x = 60, then divide both sides by 3 to get x = 20.

How do I check the answer?

Replace x by 20: 3(20) + 14 = 74, which is 74.

Similar equations

    Solve 3x + 14 = 74: x = 20 (steps and check) | WordGPT