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Solve 6x + 14 = 50

The solution of 6x + 14 = 50 is x = 6.

The lines y = 6x + 14 and y = 50 meet at x = 624681012102030405060708090x = 6y = 6x + 14y = 50
The lines y = 6x + 14 and y = 50 meet at x = 6. 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.

    6x+14=506x + 14 = 50
  2. 2

    Subtract 14 from both sides:

    6x+14−14=50−14 ⇒ 6x=366x + 14 - 14 = 50 - 14 \ \Rightarrow\ 6x = 36
  3. 3

    Divide both sides by 6:

    6x6=366 ⇒ x=6\frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    6⋅6+14=36+14=50✓6\cdot6 + 14 = 36 + 14 = 50 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 50\ \Rightarrow\ x = 6 \]
\[ 6x + 14 = 50 \]
\[ 6x + 14 - 14 = 50 - 14 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 + 14 = 36 + 14 = 50 \checkmark \]

Trying values of x in 6x + 14 = 50

x6x + 14Equals 50?
438no
544no
650yes
756no
862no

Questions

What is x in 6x + 14 = 50?

The solution of 6x + 14 = 50 is x = 6.

How do you solve 6x + 14 = 50?

Subtract 14 from both sides to get 6x = 36, then divide both sides by 6 to get x = 6.

How do I check the answer?

Replace x by 6: 6(6) + 14 = 50, which is 50.

Similar equations

    Solve 6x + 14 = 50: x = 6 (steps and check) | WordGPT