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Solve 2x + 6 = 34

The solution of 2x + 6 = 34 is x = 14.

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The lines y = 2x + 6 and y = 34 meet at x = 148101214161820202530354045x = 14y = 2x + 6y = 34
The lines y = 2x + 6 and y = 34 meet at x = 14. 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=342x + 6 = 34
  2. 2

    Subtract 6 from both sides:

    2x+6−6=34−6 ⇒ 2x=282x + 6 - 6 = 34 - 6 \ \Rightarrow\ 2x = 28
  3. 3

    Divide both sides by 2:

    2x2=282 ⇒ x=14\frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    2⋅14+6=28+6=34✓2\cdot14 + 6 = 28 + 6 = 34 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 34\ \Rightarrow\ x = 14 \]
\[ 2x + 6 = 34 \]
\[ 2x + 6 - 6 = 34 - 6 \ \Rightarrow\ 2x = 28 \]
\[ \frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14 \]
\[ 2\cdot14 + 6 = 28 + 6 = 34 \checkmark \]

Trying values of x in 2x + 6 = 34

x2x + 6Equals 34?
1230no
1332no
1434yes
1536no
1638no

Questions

What is x in 2x + 6 = 34?

The solution of 2x + 6 = 34 is x = 14.

How do you solve 2x + 6 = 34?

Subtract 6 from both sides to get 2x = 28, then divide both sides by 2 to get x = 14.

How do I check the answer?

Replace x by 14: 2(14) + 6 = 34, which is 34.

Similar equations

    Solve 2x + 6 = 34: x = 14 (steps and check) | WordGPT