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Solve 3x + 1 = 16

The solution of 3x + 1 = 16 is x = 5.

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The lines y = 3x + 1 and y = 16 meet at x = 5246810-55101520253035x = 5y = 3x + 1y = 16
The lines y = 3x + 1 and y = 16 meet at x = 5. 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=163x + 1 = 16
  2. 2

    Subtract 1 from both sides:

    3x+1−1=16−1 ⇒ 3x=153x + 1 - 1 = 16 - 1 \ \Rightarrow\ 3x = 15
  3. 3

    Divide both sides by 3:

    3x3=153 ⇒ x=5\frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    3⋅5+1=15+1=16✓3\cdot5 + 1 = 15 + 1 = 16 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 16\ \Rightarrow\ x = 5 \]
\[ 3x + 1 = 16 \]
\[ 3x + 1 - 1 = 16 - 1 \ \Rightarrow\ 3x = 15 \]
\[ \frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5 \]
\[ 3\cdot5 + 1 = 15 + 1 = 16 \checkmark \]

Trying values of x in 3x + 1 = 16

x3x + 1Equals 16?
310no
413no
516yes
619no
722no

Questions

What is x in 3x + 1 = 16?

The solution of 3x + 1 = 16 is x = 5.

How do you solve 3x + 1 = 16?

Subtract 1 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5.

How do I check the answer?

Replace x by 5: 3(5) + 1 = 16, which is 16.

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    Solve 3x + 1 = 16: x = 5 (steps and check) | WordGPT