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Solve 3x + 14 = 53

The solution of 3x + 14 = 53 is x = 13.

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The lines y = 3x + 14 and y = 53 meet at x = 13810121416183540455055606570x = 13y = 3x + 14y = 53
The lines y = 3x + 14 and y = 53 meet at x = 13. 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=533x + 14 = 53
  2. 2

    Subtract 14 from both sides:

    3x+14−14=53−14 ⇒ 3x=393x + 14 - 14 = 53 - 14 \ \Rightarrow\ 3x = 39
  3. 3

    Divide both sides by 3:

    3x3=393 ⇒ x=13\frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    3⋅13+14=39+14=53✓3\cdot13 + 14 = 39 + 14 = 53 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 53\ \Rightarrow\ x = 13 \]
\[ 3x + 14 = 53 \]
\[ 3x + 14 - 14 = 53 - 14 \ \Rightarrow\ 3x = 39 \]
\[ \frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13 \]
\[ 3\cdot13 + 14 = 39 + 14 = 53 \checkmark \]

Trying values of x in 3x + 14 = 53

x3x + 14Equals 53?
1147no
1250no
1353yes
1456no
1559no

Questions

What is x in 3x + 14 = 53?

The solution of 3x + 14 = 53 is x = 13.

How do you solve 3x + 14 = 53?

Subtract 14 from both sides to get 3x = 39, then divide both sides by 3 to get x = 13.

How do I check the answer?

Replace x by 13: 3(13) + 14 = 53, which is 53.

Similar equations

    Solve 3x + 14 = 53: x = 13 (steps and check) | WordGPT