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Solve 3x + 13 = 64

The solution of 3x + 13 = 64 is x = 17.

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The lines y = 3x + 13 and y = 64 meet at x = 17121416182022455055606570758085x = 17y = 3x + 13y = 64
The lines y = 3x + 13 and y = 64 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.

    3x+13=643x + 13 = 64
  2. 2

    Subtract 13 from both sides:

    3x+13−13=64−13 ⇒ 3x=513x + 13 - 13 = 64 - 13 \ \Rightarrow\ 3x = 51
  3. 3

    Divide both sides by 3:

    3x3=513 ⇒ x=17\frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    3⋅17+13=51+13=64✓3\cdot17 + 13 = 51 + 13 = 64 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 64\ \Rightarrow\ x = 17 \]
\[ 3x + 13 = 64 \]
\[ 3x + 13 - 13 = 64 - 13 \ \Rightarrow\ 3x = 51 \]
\[ \frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17 \]
\[ 3\cdot17 + 13 = 51 + 13 = 64 \checkmark \]

Trying values of x in 3x + 13 = 64

x3x + 13Equals 64?
1558no
1661no
1764yes
1867no
1970no

Questions

What is x in 3x + 13 = 64?

The solution of 3x + 13 = 64 is x = 17.

How do you solve 3x + 13 = 64?

Subtract 13 from both sides to get 3x = 51, then divide both sides by 3 to get x = 17.

How do I check the answer?

Replace x by 17: 3(17) + 13 = 64, which is 64.

Similar equations

    Solve 3x + 13 = 64: x = 17 (steps and check) | WordGPT