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Solve 2x + 14 = 52

The solution of 2x + 14 = 52 is x = 19.

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The lines y = 2x + 14 and y = 52 meet at x = 19141618202224404550556065x = 19y = 2x + 14y = 52
The lines y = 2x + 14 and y = 52 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+14=522x + 14 = 52
  2. 2

    Subtract 14 from both sides:

    2x+14−14=52−14 ⇒ 2x=382x + 14 - 14 = 52 - 14 \ \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+14=38+14=52✓2\cdot19 + 14 = 38 + 14 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 52\ \Rightarrow\ x = 19 \]
\[ 2x + 14 = 52 \]
\[ 2x + 14 - 14 = 52 - 14 \ \Rightarrow\ 2x = 38 \]
\[ \frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19 \]
\[ 2\cdot19 + 14 = 38 + 14 = 52 \checkmark \]

Trying values of x in 2x + 14 = 52

x2x + 14Equals 52?
1748no
1850no
1952yes
2054no
2156no

Questions

What is x in 2x + 14 = 52?

The solution of 2x + 14 = 52 is x = 19.

How do you solve 2x + 14 = 52?

Subtract 14 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) + 14 = 52, which is 52.

Similar equations

    Solve 2x + 14 = 52: x = 19 (steps and check) | WordGPT