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Solve 5x + 12 = 42

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

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The lines y = 5x + 12 and y = 42 meet at x = 62468101210203040506070x = 6y = 5x + 12y = 42
The lines y = 5x + 12 and y = 42 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.

    5x+12=425x + 12 = 42
  2. 2

    Subtract 12 from both sides:

    5x+12−12=42−12 ⇒ 5x=305x + 12 - 12 = 42 - 12 \ \Rightarrow\ 5x = 30
  3. 3

    Divide both sides by 5:

    5x5=305 ⇒ x=6\frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    5⋅6+12=30+12=42✓5\cdot6 + 12 = 30 + 12 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 12 = 42\ \Rightarrow\ x = 6 \]
\[ 5x + 12 = 42 \]
\[ 5x + 12 - 12 = 42 - 12 \ \Rightarrow\ 5x = 30 \]
\[ \frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6 \]
\[ 5\cdot6 + 12 = 30 + 12 = 42 \checkmark \]

Trying values of x in 5x + 12 = 42

x5x + 12Equals 42?
432no
537no
642yes
747no
852no

Questions

What is x in 5x + 12 = 42?

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

How do you solve 5x + 12 = 42?

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

How do I check the answer?

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

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