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Solve 4x + 1 = 25

The solution of 4x + 1 = 25 is x = 6.

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The lines y = 4x + 1 and y = 25 meet at x = 6246810121020304050x = 6y = 4x + 1y = 25
The lines y = 4x + 1 and y = 25 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.

    4x+1=254x + 1 = 25
  2. 2

    Subtract 1 from both sides:

    4x+1−1=25−1 ⇒ 4x=244x + 1 - 1 = 25 - 1 \ \Rightarrow\ 4x = 24
  3. 3

    Divide both sides by 4:

    4x4=244 ⇒ x=6\frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    4⋅6+1=24+1=25✓4\cdot6 + 1 = 24 + 1 = 25 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 1 = 25\ \Rightarrow\ x = 6 \]
\[ 4x + 1 = 25 \]
\[ 4x + 1 - 1 = 25 - 1 \ \Rightarrow\ 4x = 24 \]
\[ \frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6 \]
\[ 4\cdot6 + 1 = 24 + 1 = 25 \checkmark \]

Trying values of x in 4x + 1 = 25

x4x + 1Equals 25?
417no
521no
625yes
729no
833no

Questions

What is x in 4x + 1 = 25?

The solution of 4x + 1 = 25 is x = 6.

How do you solve 4x + 1 = 25?

Subtract 1 from both sides to get 4x = 24, then divide both sides by 4 to get x = 6.

How do I check the answer?

Replace x by 6: 4(6) + 1 = 25, which is 25.

Similar equations

    Solve 4x + 1 = 25: x = 6 (steps and check) | WordGPT