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Solve 5x + 14 = 64

The solution of 5x + 14 = 64 is x = 10.

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The lines y = 5x + 14 and y = 64 meet at x = 104681012141630405060708090100x = 10y = 5x + 14y = 64
The lines y = 5x + 14 and y = 64 meet at x = 10. 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=645x + 14 = 64
  2. 2

    Subtract 14 from both sides:

    5x+14−14=64−14 ⇒ 5x=505x + 14 - 14 = 64 - 14 \ \Rightarrow\ 5x = 50
  3. 3

    Divide both sides by 5:

    5x5=505 ⇒ x=10\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    5⋅10+14=50+14=64✓5\cdot10 + 14 = 50 + 14 = 64 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 14 = 64\ \Rightarrow\ x = 10 \]
\[ 5x + 14 = 64 \]
\[ 5x + 14 - 14 = 64 - 14 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 + 14 = 50 + 14 = 64 \checkmark \]

Trying values of x in 5x + 14 = 64

x5x + 14Equals 64?
854no
959no
1064yes
1169no
1274no

Questions

What is x in 5x + 14 = 64?

The solution of 5x + 14 = 64 is x = 10.

How do you solve 5x + 14 = 64?

Subtract 14 from both sides to get 5x = 50, then divide both sides by 5 to get x = 10.

How do I check the answer?

Replace x by 10: 5(10) + 14 = 64, which is 64.

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    Solve 5x + 14 = 64: x = 10 (steps and check) | WordGPT