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Solve 2x + 6 = 42

The solution of 2x + 6 = 42 is x = 18.

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The lines y = 2x + 6 and y = 42 meet at x = 1812141618202224303540455055x = 18y = 2x + 6y = 42
The lines y = 2x + 6 and y = 42 meet at x = 18. 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+6=422x + 6 = 42
  2. 2

    Subtract 6 from both sides:

    2x+6−6=42−6 ⇒ 2x=362x + 6 - 6 = 42 - 6 \ \Rightarrow\ 2x = 36
  3. 3

    Divide both sides by 2:

    2x2=362 ⇒ x=18\frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    2⋅18+6=36+6=42✓2\cdot18 + 6 = 36 + 6 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 42\ \Rightarrow\ x = 18 \]
\[ 2x + 6 = 42 \]
\[ 2x + 6 - 6 = 42 - 6 \ \Rightarrow\ 2x = 36 \]
\[ \frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18 \]
\[ 2\cdot18 + 6 = 36 + 6 = 42 \checkmark \]

Trying values of x in 2x + 6 = 42

x2x + 6Equals 42?
1638no
1740no
1842yes
1944no
2046no

Questions

What is x in 2x + 6 = 42?

The solution of 2x + 6 = 42 is x = 18.

How do you solve 2x + 6 = 42?

Subtract 6 from both sides to get 2x = 36, then divide both sides by 2 to get x = 18.

How do I check the answer?

Replace x by 18: 2(18) + 6 = 42, which is 42.

Similar equations

    Solve 2x + 6 = 42: x = 18 (steps and check) | WordGPT