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Solve 3x + 6 = 42

The solution of 3x + 6 = 42 is x = 12.

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The lines y = 3x + 6 and y = 42 meet at x = 126810121416182530354045505560x = 12y = 3x + 6y = 42
The lines y = 3x + 6 and y = 42 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.

    3x+6=423x + 6 = 42
  2. 2

    Subtract 6 from both sides:

    3x+6−6=42−6 ⇒ 3x=363x + 6 - 6 = 42 - 6 \ \Rightarrow\ 3x = 36
  3. 3

    Divide both sides by 3:

    3x3=363 ⇒ x=12\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    3⋅12+6=36+6=42✓3\cdot12 + 6 = 36 + 6 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 6 = 42\ \Rightarrow\ x = 12 \]
\[ 3x + 6 = 42 \]
\[ 3x + 6 - 6 = 42 - 6 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 + 6 = 36 + 6 = 42 \checkmark \]

Trying values of x in 3x + 6 = 42

x3x + 6Equals 42?
1036no
1139no
1242yes
1345no
1448no

Questions

What is x in 3x + 6 = 42?

The solution of 3x + 6 = 42 is x = 12.

How do you solve 3x + 6 = 42?

Subtract 6 from both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) + 6 = 42, which is 42.

Similar equations

    Solve 3x + 6 = 42: x = 12 (steps and check) | WordGPT