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Solve 3x + 14 = 47

The solution of 3x + 14 = 47 is x = 11.

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The lines y = 3x + 14 and y = 47 meet at x = 1168101214163035404550556065x = 11y = 3x + 14y = 47
The lines y = 3x + 14 and y = 47 meet at x = 11. 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=473x + 14 = 47
  2. 2

    Subtract 14 from both sides:

    3x+14−14=47−14 ⇒ 3x=333x + 14 - 14 = 47 - 14 \ \Rightarrow\ 3x = 33
  3. 3

    Divide both sides by 3:

    3x3=333 ⇒ x=11\frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    3⋅11+14=33+14=47✓3\cdot11 + 14 = 33 + 14 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 47\ \Rightarrow\ x = 11 \]
\[ 3x + 14 = 47 \]
\[ 3x + 14 - 14 = 47 - 14 \ \Rightarrow\ 3x = 33 \]
\[ \frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11 \]
\[ 3\cdot11 + 14 = 33 + 14 = 47 \checkmark \]

Trying values of x in 3x + 14 = 47

x3x + 14Equals 47?
941no
1044no
1147yes
1250no
1353no

Questions

What is x in 3x + 14 = 47?

The solution of 3x + 14 = 47 is x = 11.

How do you solve 3x + 14 = 47?

Subtract 14 from both sides to get 3x = 33, then divide both sides by 3 to get x = 11.

How do I check the answer?

Replace x by 11: 3(11) + 14 = 47, which is 47.

Similar equations

    Solve 3x + 14 = 47: x = 11 (steps and check) | WordGPT