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Solve 2x + 13 = 45

The solution of 2x + 13 = 45 is x = 16.

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The lines y = 2x + 13 and y = 45 meet at x = 16101214161820223540455055x = 16y = 2x + 13y = 45
The lines y = 2x + 13 and y = 45 meet at x = 16. 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+13=452x + 13 = 45
  2. 2

    Subtract 13 from both sides:

    2x+13−13=45−13 ⇒ 2x=322x + 13 - 13 = 45 - 13 \ \Rightarrow\ 2x = 32
  3. 3

    Divide both sides by 2:

    2x2=322 ⇒ x=16\frac{2x}{2} = \frac{32}{2} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    2⋅16+13=32+13=45✓2\cdot16 + 13 = 32 + 13 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 45\ \Rightarrow\ x = 16 \]
\[ 2x + 13 = 45 \]
\[ 2x + 13 - 13 = 45 - 13 \ \Rightarrow\ 2x = 32 \]
\[ \frac{2x}{2} = \frac{32}{2} \ \Rightarrow\ x = 16 \]
\[ 2\cdot16 + 13 = 32 + 13 = 45 \checkmark \]

Trying values of x in 2x + 13 = 45

x2x + 13Equals 45?
1441no
1543no
1645yes
1747no
1849no

Questions

What is x in 2x + 13 = 45?

The solution of 2x + 13 = 45 is x = 16.

How do you solve 2x + 13 = 45?

Subtract 13 from both sides to get 2x = 32, then divide both sides by 2 to get x = 16.

How do I check the answer?

Replace x by 16: 2(16) + 13 = 45, which is 45.

Similar equations

    Solve 2x + 13 = 45: x = 16 (steps and check) | WordGPT