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Solve 3x + 1 = 19

The solution of 3x + 1 = 19 is x = 6.

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The lines y = 3x + 1 and y = 19 meet at x = 624681012510152025303540x = 6y = 3x + 1y = 19
The lines y = 3x + 1 and y = 19 meet at x = 6. 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+1=193x + 1 = 19
  2. 2

    Subtract 1 from both sides:

    3x+1−1=19−1 ⇒ 3x=183x + 1 - 1 = 19 - 1 \ \Rightarrow\ 3x = 18
  3. 3

    Divide both sides by 3:

    3x3=183 ⇒ x=6\frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    3⋅6+1=18+1=19✓3\cdot6 + 1 = 18 + 1 = 19 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 19\ \Rightarrow\ x = 6 \]
\[ 3x + 1 = 19 \]
\[ 3x + 1 - 1 = 19 - 1 \ \Rightarrow\ 3x = 18 \]
\[ \frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6 \]
\[ 3\cdot6 + 1 = 18 + 1 = 19 \checkmark \]

Trying values of x in 3x + 1 = 19

x3x + 1Equals 19?
413no
516no
619yes
722no
825no

Questions

What is x in 3x + 1 = 19?

The solution of 3x + 1 = 19 is x = 6.

How do you solve 3x + 1 = 19?

Subtract 1 from both sides to get 3x = 18, then divide both sides by 3 to get x = 6.

How do I check the answer?

Replace x by 6: 3(6) + 1 = 19, which is 19.

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    Solve 3x + 1 = 19: x = 6 (steps and check) | WordGPT