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Solve 3x + 6 = 27

The solution of 3x + 6 = 27 is x = 7.

The lines y = 3x + 6 and y = 27 meet at x = 7246810121015202530354045x = 7y = 3x + 6y = 27
The lines y = 3x + 6 and y = 27 meet at x = 7. 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=273x + 6 = 27
  2. 2

    Subtract 6 from both sides:

    3x+6−6=27−6 ⇒ 3x=213x + 6 - 6 = 27 - 6 \ \Rightarrow\ 3x = 21
  3. 3

    Divide both sides by 3:

    3x3=213 ⇒ x=7\frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    3⋅7+6=21+6=27✓3\cdot7 + 6 = 21 + 6 = 27 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 6 = 27\ \Rightarrow\ x = 7 \]
\[ 3x + 6 = 27 \]
\[ 3x + 6 - 6 = 27 - 6 \ \Rightarrow\ 3x = 21 \]
\[ \frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7 \]
\[ 3\cdot7 + 6 = 21 + 6 = 27 \checkmark \]

Trying values of x in 3x + 6 = 27

x3x + 6Equals 27?
521no
624no
727yes
830no
933no

Questions

What is x in 3x + 6 = 27?

The solution of 3x + 6 = 27 is x = 7.

How do you solve 3x + 6 = 27?

Subtract 6 from both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

How do I check the answer?

Replace x by 7: 3(7) + 6 = 27, which is 27.

Similar equations

    Solve 3x + 6 = 27: x = 7 (steps and check) | WordGPT