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Solve 3x + 14 = 71

The solution of 3x + 14 = 71 is x = 19.

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The lines y = 3x + 14 and y = 71 meet at x = 19141618202224505560657075808590x = 19y = 3x + 14y = 71
The lines y = 3x + 14 and y = 71 meet at x = 19. 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=713x + 14 = 71
  2. 2

    Subtract 14 from both sides:

    3x+14−14=71−14 ⇒ 3x=573x + 14 - 14 = 71 - 14 \ \Rightarrow\ 3x = 57
  3. 3

    Divide both sides by 3:

    3x3=573 ⇒ x=19\frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    3⋅19+14=57+14=71✓3\cdot19 + 14 = 57 + 14 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 71\ \Rightarrow\ x = 19 \]
\[ 3x + 14 = 71 \]
\[ 3x + 14 - 14 = 71 - 14 \ \Rightarrow\ 3x = 57 \]
\[ \frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19 \]
\[ 3\cdot19 + 14 = 57 + 14 = 71 \checkmark \]

Trying values of x in 3x + 14 = 71

x3x + 14Equals 71?
1765no
1868no
1971yes
2074no
2177no

Questions

What is x in 3x + 14 = 71?

The solution of 3x + 14 = 71 is x = 19.

How do you solve 3x + 14 = 71?

Subtract 14 from both sides to get 3x = 57, then divide both sides by 3 to get x = 19.

How do I check the answer?

Replace x by 19: 3(19) + 14 = 71, which is 71.

Similar equations

    Solve 3x + 14 = 71: x = 19 (steps and check) | WordGPT