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Solve 4x + 1 = 21

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

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The lines y = 4x + 1 and y = 21 meet at x = 52468101020304050x = 5y = 4x + 1y = 21
The lines y = 4x + 1 and y = 21 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.

    4x+1=214x + 1 = 21
  2. 2

    Subtract 1 from both sides:

    4x+1−1=21−1 ⇒ 4x=204x + 1 - 1 = 21 - 1 \ \Rightarrow\ 4x = 20
  3. 3

    Divide both sides by 4:

    4x4=204 ⇒ x=5\frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    4⋅5+1=20+1=21✓4\cdot5 + 1 = 20 + 1 = 21 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 1 = 21\ \Rightarrow\ x = 5 \]
\[ 4x + 1 = 21 \]
\[ 4x + 1 - 1 = 21 - 1 \ \Rightarrow\ 4x = 20 \]
\[ \frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5 \]
\[ 4\cdot5 + 1 = 20 + 1 = 21 \checkmark \]

Trying values of x in 4x + 1 = 21

x4x + 1Equals 21?
313no
417no
521yes
625no
729no

Questions

What is x in 4x + 1 = 21?

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

How do you solve 4x + 1 = 21?

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

How do I check the answer?

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

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