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Solve 6x + 10 = 82

The solution of 6x + 10 = 82 is x = 12.

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The lines y = 6x + 10 and y = 82 meet at x = 12681012141618405060708090100110120x = 12y = 6x + 10y = 82
The lines y = 6x + 10 and y = 82 meet at x = 12. 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+10=826x + 10 = 82
  2. 2

    Subtract 10 from both sides:

    6x+10−10=82−10 ⇒ 6x=726x + 10 - 10 = 82 - 10 \ \Rightarrow\ 6x = 72
  3. 3

    Divide both sides by 6:

    6x6=726 ⇒ x=12\frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    6⋅12+10=72+10=82✓6\cdot12 + 10 = 72 + 10 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 10 = 82\ \Rightarrow\ x = 12 \]
\[ 6x + 10 = 82 \]
\[ 6x + 10 - 10 = 82 - 10 \ \Rightarrow\ 6x = 72 \]
\[ \frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12 \]
\[ 6\cdot12 + 10 = 72 + 10 = 82 \checkmark \]

Trying values of x in 6x + 10 = 82

x6x + 10Equals 82?
1070no
1176no
1282yes
1388no
1494no

Questions

What is x in 6x + 10 = 82?

The solution of 6x + 10 = 82 is x = 12.

How do you solve 6x + 10 = 82?

Subtract 10 from both sides to get 6x = 72, then divide both sides by 6 to get x = 12.

How do I check the answer?

Replace x by 12: 6(12) + 10 = 82, which is 82.

Similar equations

    Solve 6x + 10 = 82: x = 12 (steps and check) | WordGPT