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Solve 2x + 11 = 45

The solution of 2x + 11 = 45 is x = 17.

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The lines y = 2x + 11 and y = 45 meet at x = 171214161820223540455055x = 17y = 2x + 11y = 45
The lines y = 2x + 11 and y = 45 meet at x = 17. 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+11=452x + 11 = 45
  2. 2

    Subtract 11 from both sides:

    2x+11−11=45−11 ⇒ 2x=342x + 11 - 11 = 45 - 11 \ \Rightarrow\ 2x = 34
  3. 3

    Divide both sides by 2:

    2x2=342 ⇒ x=17\frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    2⋅17+11=34+11=45✓2\cdot17 + 11 = 34 + 11 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 11 = 45\ \Rightarrow\ x = 17 \]
\[ 2x + 11 = 45 \]
\[ 2x + 11 - 11 = 45 - 11 \ \Rightarrow\ 2x = 34 \]
\[ \frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17 \]
\[ 2\cdot17 + 11 = 34 + 11 = 45 \checkmark \]

Trying values of x in 2x + 11 = 45

x2x + 11Equals 45?
1541no
1643no
1745yes
1847no
1949no

Questions

What is x in 2x + 11 = 45?

The solution of 2x + 11 = 45 is x = 17.

How do you solve 2x + 11 = 45?

Subtract 11 from both sides to get 2x = 34, then divide both sides by 2 to get x = 17.

How do I check the answer?

Replace x by 17: 2(17) + 11 = 45, which is 45.

Similar equations

    Solve 2x + 11 = 45: x = 17 (steps and check) | WordGPT