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Solve 2x + 5 = 27

The solution of 2x + 5 = 27 is x = 11.

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The lines y = 2x + 5 and y = 27 meet at x = 116810121416152025303540x = 11y = 2x + 5y = 27
The lines y = 2x + 5 and y = 27 meet at x = 11. 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+5=272x + 5 = 27
  2. 2

    Subtract 5 from both sides:

    2x+5−5=27−5 ⇒ 2x=222x + 5 - 5 = 27 - 5 \ \Rightarrow\ 2x = 22
  3. 3

    Divide both sides by 2:

    2x2=222 ⇒ x=11\frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    2⋅11+5=22+5=27✓2\cdot11 + 5 = 22 + 5 = 27 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 5 = 27\ \Rightarrow\ x = 11 \]
\[ 2x + 5 = 27 \]
\[ 2x + 5 - 5 = 27 - 5 \ \Rightarrow\ 2x = 22 \]
\[ \frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11 \]
\[ 2\cdot11 + 5 = 22 + 5 = 27 \checkmark \]

Trying values of x in 2x + 5 = 27

x2x + 5Equals 27?
923no
1025no
1127yes
1229no
1331no

Questions

What is x in 2x + 5 = 27?

The solution of 2x + 5 = 27 is x = 11.

How do you solve 2x + 5 = 27?

Subtract 5 from both sides to get 2x = 22, then divide both sides by 2 to get x = 11.

How do I check the answer?

Replace x by 11: 2(11) + 5 = 27, which is 27.

Similar equations

    Solve 2x + 5 = 27: x = 11 (steps and check) | WordGPT