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Solve 6x + 3 = 39

The solution of 6x + 3 = 39 is x = 6.

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The lines y = 6x + 3 and y = 39 meet at x = 6246810121020304050607080x = 6y = 6x + 3y = 39
The lines y = 6x + 3 and y = 39 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+3=396x + 3 = 39
  2. 2

    Subtract 3 from both sides:

    6x+3−3=39−3 ⇒ 6x=366x + 3 - 3 = 39 - 3 \ \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+3=36+3=39✓6\cdot6 + 3 = 36 + 3 = 39 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 39\ \Rightarrow\ x = 6 \]
\[ 6x + 3 = 39 \]
\[ 6x + 3 - 3 = 39 - 3 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 + 3 = 36 + 3 = 39 \checkmark \]

Trying values of x in 6x + 3 = 39

x6x + 3Equals 39?
427no
533no
639yes
745no
851no

Questions

What is x in 6x + 3 = 39?

The solution of 6x + 3 = 39 is x = 6.

How do you solve 6x + 3 = 39?

Subtract 3 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) + 3 = 39, which is 39.

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    Solve 6x + 3 = 39: x = 6 (steps and check) | WordGPT