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Solve 6x + 14 = 62

The solution of 6x + 14 = 62 is x = 8.

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The lines y = 6x + 14 and y = 62 meet at x = 824681012142030405060708090100x = 8y = 6x + 14y = 62
The lines y = 6x + 14 and y = 62 meet at x = 8. 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=626x + 14 = 62
  2. 2

    Subtract 14 from both sides:

    6x+14−14=62−14 ⇒ 6x=486x + 14 - 14 = 62 - 14 \ \Rightarrow\ 6x = 48
  3. 3

    Divide both sides by 6:

    6x6=486 ⇒ x=8\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    6⋅8+14=48+14=62✓6\cdot8 + 14 = 48 + 14 = 62 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 62\ \Rightarrow\ x = 8 \]
\[ 6x + 14 = 62 \]
\[ 6x + 14 - 14 = 62 - 14 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 + 14 = 48 + 14 = 62 \checkmark \]

Trying values of x in 6x + 14 = 62

x6x + 14Equals 62?
650no
756no
862yes
968no
1074no

Questions

What is x in 6x + 14 = 62?

The solution of 6x + 14 = 62 is x = 8.

How do you solve 6x + 14 = 62?

Subtract 14 from both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) + 14 = 62, which is 62.

Similar equations

    Solve 6x + 14 = 62: x = 8 (steps and check) | WordGPT