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Solve 6x + 10 = 46

The solution of 6x + 10 = 46 is x = 6.

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The lines y = 6x + 10 and y = 46 meet at x = 6246810121020304050607080x = 6y = 6x + 10y = 46
The lines y = 6x + 10 and y = 46 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+10=466x + 10 = 46
  2. 2

    Subtract 10 from both sides:

    6x+10−10=46−10 ⇒ 6x=366x + 10 - 10 = 46 - 10 \ \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+10=36+10=46✓6\cdot6 + 10 = 36 + 10 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 10 = 46\ \Rightarrow\ x = 6 \]
\[ 6x + 10 = 46 \]
\[ 6x + 10 - 10 = 46 - 10 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 + 10 = 36 + 10 = 46 \checkmark \]

Trying values of x in 6x + 10 = 46

x6x + 10Equals 46?
434no
540no
646yes
752no
858no

Questions

What is x in 6x + 10 = 46?

The solution of 6x + 10 = 46 is x = 6.

How do you solve 6x + 10 = 46?

Subtract 10 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) + 10 = 46, which is 46.

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    Solve 6x + 10 = 46: x = 6 (steps and check) | WordGPT