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Solve 3x + 11 = 62

The solution of 3x + 11 = 62 is x = 17.

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The lines y = 3x + 11 and y = 62 meet at x = 171214161820224550556065707580x = 17y = 3x + 11y = 62
The lines y = 3x + 11 and y = 62 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+11=623x + 11 = 62
  2. 2

    Subtract 11 from both sides:

    3x+11−11=62−11 ⇒ 3x=513x + 11 - 11 = 62 - 11 \ \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+11=51+11=62✓3\cdot17 + 11 = 51 + 11 = 62 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 11 = 62\ \Rightarrow\ x = 17 \]
\[ 3x + 11 = 62 \]
\[ 3x + 11 - 11 = 62 - 11 \ \Rightarrow\ 3x = 51 \]
\[ \frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17 \]
\[ 3\cdot17 + 11 = 51 + 11 = 62 \checkmark \]

Trying values of x in 3x + 11 = 62

x3x + 11Equals 62?
1556no
1659no
1762yes
1865no
1968no

Questions

What is x in 3x + 11 = 62?

The solution of 3x + 11 = 62 is x = 17.

How do you solve 3x + 11 = 62?

Subtract 11 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) + 11 = 62, which is 62.

Similar equations

    Solve 3x + 11 = 62: x = 17 (steps and check) | WordGPT