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Solve 6x + 14 = 74

The solution of 6x + 14 = 74 is x = 10.

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The lines y = 6x + 14 and y = 74 meet at x = 1046810121416405060708090100110x = 10y = 6x + 14y = 74
The lines y = 6x + 14 and y = 74 meet at x = 10. 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=746x + 14 = 74
  2. 2

    Subtract 14 from both sides:

    6x+14−14=74−14 ⇒ 6x=606x + 14 - 14 = 74 - 14 \ \Rightarrow\ 6x = 60
  3. 3

    Divide both sides by 6:

    6x6=606 ⇒ x=10\frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    6⋅10+14=60+14=74✓6\cdot10 + 14 = 60 + 14 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 74\ \Rightarrow\ x = 10 \]
\[ 6x + 14 = 74 \]
\[ 6x + 14 - 14 = 74 - 14 \ \Rightarrow\ 6x = 60 \]
\[ \frac{6x}{6} = \frac{60}{6} \ \Rightarrow\ x = 10 \]
\[ 6\cdot10 + 14 = 60 + 14 = 74 \checkmark \]

Trying values of x in 6x + 14 = 74

x6x + 14Equals 74?
862no
968no
1074yes
1180no
1286no

Questions

What is x in 6x + 14 = 74?

The solution of 6x + 14 = 74 is x = 10.

How do you solve 6x + 14 = 74?

Subtract 14 from both sides to get 6x = 60, then divide both sides by 6 to get x = 10.

How do I check the answer?

Replace x by 10: 6(10) + 14 = 74, which is 74.

Similar equations

    Solve 6x + 14 = 74: x = 10 (steps and check) | WordGPT