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Solve 4x + 1 = 65

The solution of 4x + 1 = 65 is x = 16.

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The lines y = 4x + 1 and y = 65 meet at x = 1610121416182022405060708090x = 16y = 4x + 1y = 65
The lines y = 4x + 1 and y = 65 meet at x = 16. 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=654x + 1 = 65
  2. 2

    Subtract 1 from both sides:

    4x+1−1=65−1 ⇒ 4x=644x + 1 - 1 = 65 - 1 \ \Rightarrow\ 4x = 64
  3. 3

    Divide both sides by 4:

    4x4=644 ⇒ x=16\frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    4⋅16+1=64+1=65✓4\cdot16 + 1 = 64 + 1 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 1 = 65\ \Rightarrow\ x = 16 \]
\[ 4x + 1 = 65 \]
\[ 4x + 1 - 1 = 65 - 1 \ \Rightarrow\ 4x = 64 \]
\[ \frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16 \]
\[ 4\cdot16 + 1 = 64 + 1 = 65 \checkmark \]

Trying values of x in 4x + 1 = 65

x4x + 1Equals 65?
1457no
1561no
1665yes
1769no
1873no

Questions

What is x in 4x + 1 = 65?

The solution of 4x + 1 = 65 is x = 16.

How do you solve 4x + 1 = 65?

Subtract 1 from both sides to get 4x = 64, then divide both sides by 4 to get x = 16.

How do I check the answer?

Replace x by 16: 4(16) + 1 = 65, which is 65.

Similar equations

    Solve 4x + 1 = 65: x = 16 (steps and check) | WordGPT