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Solve 3x + 14 = 5

The solution of 3x + 14 = 5 is x = -3.

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The lines y = 3x + 14 and y = 5 meet at x = -3-8-6-4-22-15-10-5510152025x = -3y = 3x + 14y = 5
The lines y = 3x + 14 and y = 5 meet at x = -3. 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=53x + 14 = 5
  2. 2

    Subtract 14 from both sides:

    3x+14−14=5−14 ⇒ 3x=−93x + 14 - 14 = 5 - 14 \ \Rightarrow\ 3x = -9
  3. 3

    Divide both sides by 3:

    3x3=−93 ⇒ x=−3\frac{3x}{3} = \frac{-9}{3} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

    3⋅(−3)+14=−9+14=5✓3\cdot(-3) + 14 = -9 + 14 = 5 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 5\ \Rightarrow\ x = -3 \]
\[ 3x + 14 = 5 \]
\[ 3x + 14 - 14 = 5 - 14 \ \Rightarrow\ 3x = -9 \]
\[ \frac{3x}{3} = \frac{-9}{3} \ \Rightarrow\ x = -3 \]
\[ 3\cdot(-3) + 14 = -9 + 14 = 5 \checkmark \]

Trying values of x in 3x + 14 = 5

x3x + 14Equals 5?
-5-1no
-42no
-35yes
-28no
-111no

Questions

What is x in 3x + 14 = 5?

The solution of 3x + 14 = 5 is x = -3.

How do you solve 3x + 14 = 5?

Subtract 14 from both sides to get 3x = -9, then divide both sides by 3 to get x = -3.

How do I check the answer?

Replace x by -3: 3(-3) + 14 = 5, which is 5.

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    Solve 3x + 14 = 5: x = -3 (steps and check) | WordGPT