WordGPT

Solve 6x + 12 = 42

The solution of 6x + 12 = 42 is x = 5.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 12 and y = 42 meet at x = 52468101020304050607080x = 5y = 6x + 12y = 42
The lines y = 6x + 12 and y = 42 meet at x = 5. 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+12=426x + 12 = 42
  2. 2

    Subtract 12 from both sides:

    6x+12−12=42−12 ⇒ 6x=306x + 12 - 12 = 42 - 12 \ \Rightarrow\ 6x = 30
  3. 3

    Divide both sides by 6:

    6x6=306 ⇒ x=5\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    6⋅5+12=30+12=42✓6\cdot5 + 12 = 30 + 12 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 42\ \Rightarrow\ x = 5 \]
\[ 6x + 12 = 42 \]
\[ 6x + 12 - 12 = 42 - 12 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 + 12 = 30 + 12 = 42 \checkmark \]

Trying values of x in 6x + 12 = 42

x6x + 12Equals 42?
330no
436no
542yes
648no
754no

Questions

What is x in 6x + 12 = 42?

The solution of 6x + 12 = 42 is x = 5.

How do you solve 6x + 12 = 42?

Subtract 12 from both sides to get 6x = 30, then divide both sides by 6 to get x = 5.

How do I check the answer?

Replace x by 5: 6(5) + 12 = 42, which is 42.

Similar equations

    Solve 6x + 12 = 42: x = 5 (steps and check) | WordGPT