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Solve 2x + 13 = 51

The solution of 2x + 13 = 51 is x = 19.

The lines y = 2x + 13 and y = 51 meet at x = 19141618202224404550556065x = 19y = 2x + 13y = 51
The lines y = 2x + 13 and y = 51 meet at x = 19. 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=512x + 13 = 51
  2. 2

    Subtract 13 from both sides:

    2x+13−13=51−13 ⇒ 2x=382x + 13 - 13 = 51 - 13 \ \Rightarrow\ 2x = 38
  3. 3

    Divide both sides by 2:

    2x2=382 ⇒ x=19\frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    2⋅19+13=38+13=51✓2\cdot19 + 13 = 38 + 13 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 51\ \Rightarrow\ x = 19 \]
\[ 2x + 13 = 51 \]
\[ 2x + 13 - 13 = 51 - 13 \ \Rightarrow\ 2x = 38 \]
\[ \frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19 \]
\[ 2\cdot19 + 13 = 38 + 13 = 51 \checkmark \]

Trying values of x in 2x + 13 = 51

x2x + 13Equals 51?
1747no
1849no
1951yes
2053no
2155no

Questions

What is x in 2x + 13 = 51?

The solution of 2x + 13 = 51 is x = 19.

How do you solve 2x + 13 = 51?

Subtract 13 from both sides to get 2x = 38, then divide both sides by 2 to get x = 19.

How do I check the answer?

Replace x by 19: 2(19) + 13 = 51, which is 51.

Similar equations

    Solve 2x + 13 = 51: x = 19 (steps and check) | WordGPT