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Solve 2x + 5 = 33

The solution of 2x + 5 = 33 is x = 14.

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The lines y = 2x + 5 and y = 33 meet at x = 148101214161820202530354045x = 14y = 2x + 5y = 33
The lines y = 2x + 5 and y = 33 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+5=332x + 5 = 33
  2. 2

    Subtract 5 from both sides:

    2x+5−5=33−5 ⇒ 2x=282x + 5 - 5 = 33 - 5 \ \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+5=28+5=33✓2\cdot14 + 5 = 28 + 5 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 5 = 33\ \Rightarrow\ x = 14 \]
\[ 2x + 5 = 33 \]
\[ 2x + 5 - 5 = 33 - 5 \ \Rightarrow\ 2x = 28 \]
\[ \frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14 \]
\[ 2\cdot14 + 5 = 28 + 5 = 33 \checkmark \]

Trying values of x in 2x + 5 = 33

x2x + 5Equals 33?
1229no
1331no
1433yes
1535no
1637no

Questions

What is x in 2x + 5 = 33?

The solution of 2x + 5 = 33 is x = 14.

How do you solve 2x + 5 = 33?

Subtract 5 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) + 5 = 33, which is 33.

Similar equations

    Solve 2x + 5 = 33: x = 14 (steps and check) | WordGPT