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Solve 3x + 6 = 24

The solution of 3x + 6 = 24 is x = 6.

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The lines y = 3x + 6 and y = 24 meet at x = 62468101251015202530354045x = 6y = 3x + 6y = 24
The lines y = 3x + 6 and y = 24 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.

    3x+6=243x + 6 = 24
  2. 2

    Subtract 6 from both sides:

    3x+6−6=24−6 ⇒ 3x=183x + 6 - 6 = 24 - 6 \ \Rightarrow\ 3x = 18
  3. 3

    Divide both sides by 3:

    3x3=183 ⇒ x=6\frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    3⋅6+6=18+6=24✓3\cdot6 + 6 = 18 + 6 = 24 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 6 = 24\ \Rightarrow\ x = 6 \]
\[ 3x + 6 = 24 \]
\[ 3x + 6 - 6 = 24 - 6 \ \Rightarrow\ 3x = 18 \]
\[ \frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6 \]
\[ 3\cdot6 + 6 = 18 + 6 = 24 \checkmark \]

Trying values of x in 3x + 6 = 24

x3x + 6Equals 24?
418no
521no
624yes
727no
830no

Questions

What is x in 3x + 6 = 24?

The solution of 3x + 6 = 24 is x = 6.

How do you solve 3x + 6 = 24?

Subtract 6 from both sides to get 3x = 18, then divide both sides by 3 to get x = 6.

How do I check the answer?

Replace x by 6: 3(6) + 6 = 24, which is 24.

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