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Solve 5x + 14 = 34

The solution of 5x + 14 = 34 is x = 4.

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The lines y = 5x + 14 and y = 34 meet at x = 4-224681010203040506070x = 4y = 5x + 14y = 34
The lines y = 5x + 14 and y = 34 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.

    5x+14=345x + 14 = 34
  2. 2

    Subtract 14 from both sides:

    5x+14−14=34−14 ⇒ 5x=205x + 14 - 14 = 34 - 14 \ \Rightarrow\ 5x = 20
  3. 3

    Divide both sides by 5:

    5x5=205 ⇒ x=4\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    5⋅4+14=20+14=34✓5\cdot4 + 14 = 20 + 14 = 34 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 14 = 34\ \Rightarrow\ x = 4 \]
\[ 5x + 14 = 34 \]
\[ 5x + 14 - 14 = 34 - 14 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 + 14 = 20 + 14 = 34 \checkmark \]

Trying values of x in 5x + 14 = 34

x5x + 14Equals 34?
224no
329no
434yes
539no
644no

Questions

What is x in 5x + 14 = 34?

The solution of 5x + 14 = 34 is x = 4.

How do you solve 5x + 14 = 34?

Subtract 14 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) + 14 = 34, which is 34.

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    Solve 5x + 14 = 34: x = 4 (steps and check) | WordGPT