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Solve 6x + 14 = 44

The solution of 6x + 14 = 44 is x = 5.

The lines y = 6x + 14 and y = 44 meet at x = 52468101020304050607080x = 5y = 6x + 14y = 44
The lines y = 6x + 14 and y = 44 meet at x = 5. 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=446x + 14 = 44
  2. 2

    Subtract 14 from both sides:

    6x+14−14=44−14 ⇒ 6x=306x + 14 - 14 = 44 - 14 \ \Rightarrow\ 6x = 30
  3. 3

    Divide both sides by 6:

    6x6=306 ⇒ x=5\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    6⋅5+14=30+14=44✓6\cdot5 + 14 = 30 + 14 = 44 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 44\ \Rightarrow\ x = 5 \]
\[ 6x + 14 = 44 \]
\[ 6x + 14 - 14 = 44 - 14 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 + 14 = 30 + 14 = 44 \checkmark \]

Trying values of x in 6x + 14 = 44

x6x + 14Equals 44?
332no
438no
544yes
650no
756no

Questions

What is x in 6x + 14 = 44?

The solution of 6x + 14 = 44 is x = 5.

How do you solve 6x + 14 = 44?

Subtract 14 from both sides to get 6x = 30, then divide both sides by 6 to get x = 5.

How do I check the answer?

Replace x by 5: 6(5) + 14 = 44, which is 44.

Similar equations

    Solve 6x + 14 = 44: x = 5 (steps and check) | WordGPT