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Solve 5x + 1 = 16

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

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The lines y = 5x + 1 and y = 16 meet at x = 3-22468-20-101020304050x = 3y = 5x + 1y = 16
The lines y = 5x + 1 and y = 16 meet at x = 3. 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+1=165x + 1 = 16
  2. 2

    Subtract 1 from both sides:

    5x+1−1=16−1 ⇒ 5x=155x + 1 - 1 = 16 - 1 \ \Rightarrow\ 5x = 15
  3. 3

    Divide both sides by 5:

    5x5=155 ⇒ x=3\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    5⋅3+1=15+1=16✓5\cdot3 + 1 = 15 + 1 = 16 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 16\ \Rightarrow\ x = 3 \]
\[ 5x + 1 = 16 \]
\[ 5x + 1 - 1 = 16 - 1 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 + 1 = 15 + 1 = 16 \checkmark \]

Trying values of x in 5x + 1 = 16

x5x + 1Equals 16?
16no
211no
316yes
421no
526no

Questions

What is x in 5x + 1 = 16?

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

How do you solve 5x + 1 = 16?

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

How do I check the answer?

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

Similar equations

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