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Solve 2x + 14 = 48

The solution of 2x + 14 = 48 is x = 17.

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The lines y = 2x + 14 and y = 48 meet at x = 17121416182022354045505560x = 17y = 2x + 14y = 48
The lines y = 2x + 14 and y = 48 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+14=482x + 14 = 48
  2. 2

    Subtract 14 from both sides:

    2x+14−14=48−14 ⇒ 2x=342x + 14 - 14 = 48 - 14 \ \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+14=34+14=48✓2\cdot17 + 14 = 34 + 14 = 48 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 48\ \Rightarrow\ x = 17 \]
\[ 2x + 14 = 48 \]
\[ 2x + 14 - 14 = 48 - 14 \ \Rightarrow\ 2x = 34 \]
\[ \frac{2x}{2} = \frac{34}{2} \ \Rightarrow\ x = 17 \]
\[ 2\cdot17 + 14 = 34 + 14 = 48 \checkmark \]

Trying values of x in 2x + 14 = 48

x2x + 14Equals 48?
1544no
1646no
1748yes
1850no
1952no

Questions

What is x in 2x + 14 = 48?

The solution of 2x + 14 = 48 is x = 17.

How do you solve 2x + 14 = 48?

Subtract 14 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) + 14 = 48, which is 48.

Similar equations

    Solve 2x + 14 = 48: x = 17 (steps and check) | WordGPT