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Solve 2x + 5 = 13

The solution of 2x + 5 = 13 is x = 4.

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The lines y = 2x + 5 and y = 13 meet at x = 4-2246810510152025x = 4y = 2x + 5y = 13
The lines y = 2x + 5 and y = 13 meet at x = 4. 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=132x + 5 = 13
  2. 2

    Subtract 5 from both sides:

    2x+5−5=13−5 ⇒ 2x=82x + 5 - 5 = 13 - 5 \ \Rightarrow\ 2x = 8
  3. 3

    Divide both sides by 2:

    2x2=82 ⇒ x=4\frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    2⋅4+5=8+5=13✓2\cdot4 + 5 = 8 + 5 = 13 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 5 = 13\ \Rightarrow\ x = 4 \]
\[ 2x + 5 = 13 \]
\[ 2x + 5 - 5 = 13 - 5 \ \Rightarrow\ 2x = 8 \]
\[ \frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4 \]
\[ 2\cdot4 + 5 = 8 + 5 = 13 \checkmark \]

Trying values of x in 2x + 5 = 13

x2x + 5Equals 13?
29no
311no
413yes
515no
617no

Questions

What is x in 2x + 5 = 13?

The solution of 2x + 5 = 13 is x = 4.

How do you solve 2x + 5 = 13?

Subtract 5 from both sides to get 2x = 8, then divide both sides by 2 to get x = 4.

How do I check the answer?

Replace x by 4: 2(4) + 5 = 13, which is 13.

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    Solve 2x + 5 = 13: x = 4 (steps and check) | WordGPT