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Solve 2x + 8 = 42

The solution of 2x + 8 = 42 is x = 17.

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The lines y = 2x + 8 and y = 42 meet at x = 17121416182022303540455055x = 17y = 2x + 8y = 42
The lines y = 2x + 8 and y = 42 meet at x = 17. 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.

    2x+8=422x + 8 = 42
  2. 2

    Subtract 8 from both sides:

    2x+8−8=42−8 ⇒ 2x=342x + 8 - 8 = 42 - 8 \ \Rightarrow\ 2x = 34
  3. 3

    Divide both sides by 2:

    2x2=342 ⇒ x=17\frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    2⋅17+8=34+8=42✓2\cdot17 + 8 = 34 + 8 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 8 = 42\ \Rightarrow\ x = 17 \]
\[ 2x + 8 = 42 \]
\[ 2x + 8 - 8 = 42 - 8 \ \Rightarrow\ 2x = 34 \]
\[ \frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17 \]
\[ 2\cdot17 + 8 = 34 + 8 = 42 \checkmark \]

Trying values of x in 2x + 8 = 42

x2x + 8Equals 42?
1538no
1640no
1742yes
1844no
1946no

Questions

What is x in 2x + 8 = 42?

The solution of 2x + 8 = 42 is x = 17.

How do you solve 2x + 8 = 42?

Subtract 8 from both sides to get 2x = 34, then divide both sides by 2 to get x = 17.

How do I check the answer?

Replace x by 17: 2(17) + 8 = 42, which is 42.

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    Solve 2x + 8 = 42: x = 17 (steps and check) | WordGPT