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Solve 2x + 1 = 27

The solution of 2x + 1 = 27 is x = 13.

The lines y = 2x + 1 and y = 27 meet at x = 1381012141618152025303540x = 13y = 2x + 1y = 27
The lines y = 2x + 1 and y = 27 meet at x = 13. 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+1=272x + 1 = 27
  2. 2

    Subtract 1 from both sides:

    2x+1−1=27−1 ⇒ 2x=262x + 1 - 1 = 27 - 1 \ \Rightarrow\ 2x = 26
  3. 3

    Divide both sides by 2:

    2x2=262 ⇒ x=13\frac{2x}{2} = \frac{26}{2} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    2⋅13+1=26+1=27✓2\cdot13 + 1 = 26 + 1 = 27 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 1 = 27\ \Rightarrow\ x = 13 \]
\[ 2x + 1 = 27 \]
\[ 2x + 1 - 1 = 27 - 1 \ \Rightarrow\ 2x = 26 \]
\[ \frac{2x}{2} = \frac{26}{2} \ \Rightarrow\ x = 13 \]
\[ 2\cdot13 + 1 = 26 + 1 = 27 \checkmark \]

Trying values of x in 2x + 1 = 27

x2x + 1Equals 27?
1123no
1225no
1327yes
1429no
1531no

Questions

What is x in 2x + 1 = 27?

The solution of 2x + 1 = 27 is x = 13.

How do you solve 2x + 1 = 27?

Subtract 1 from both sides to get 2x = 26, then divide both sides by 2 to get x = 13.

How do I check the answer?

Replace x by 13: 2(13) + 1 = 27, which is 27.

Similar equations

    Solve 2x + 1 = 27: x = 13 (steps and check) | WordGPT