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Solve 5x + 1 = 21

The solution of 5x + 1 = 21 is x = 4.

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The lines y = 5x + 1 and y = 21 meet at x = 4-2246810-101020304050x = 4y = 5x + 1y = 21
The lines y = 5x + 1 and y = 21 meet at x = 4. 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=215x + 1 = 21
  2. 2

    Subtract 1 from both sides:

    5x+1−1=21−1 ⇒ 5x=205x + 1 - 1 = 21 - 1 \ \Rightarrow\ 5x = 20
  3. 3

    Divide both sides by 5:

    5x5=205 ⇒ x=4\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    5⋅4+1=20+1=21✓5\cdot4 + 1 = 20 + 1 = 21 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 21\ \Rightarrow\ x = 4 \]
\[ 5x + 1 = 21 \]
\[ 5x + 1 - 1 = 21 - 1 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 + 1 = 20 + 1 = 21 \checkmark \]

Trying values of x in 5x + 1 = 21

x5x + 1Equals 21?
211no
316no
421yes
526no
631no

Questions

What is x in 5x + 1 = 21?

The solution of 5x + 1 = 21 is x = 4.

How do you solve 5x + 1 = 21?

Subtract 1 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) + 1 = 21, which is 21.

Similar equations

    Solve 5x + 1 = 21: x = 4 (steps and check) | WordGPT