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Solve 4x + 5 = 41

The solution of 4x + 5 = 41 is x = 9.

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The lines y = 4x + 5 and y = 41 meet at x = 9468101214203040506070x = 9y = 4x + 5y = 41
The lines y = 4x + 5 and y = 41 meet at x = 9. 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+5=414x + 5 = 41
  2. 2

    Subtract 5 from both sides:

    4x+5−5=41−5 ⇒ 4x=364x + 5 - 5 = 41 - 5 \ \Rightarrow\ 4x = 36
  3. 3

    Divide both sides by 4:

    4x4=364 ⇒ x=9\frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    4⋅9+5=36+5=41✓4\cdot9 + 5 = 36 + 5 = 41 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 5 = 41\ \Rightarrow\ x = 9 \]
\[ 4x + 5 = 41 \]
\[ 4x + 5 - 5 = 41 - 5 \ \Rightarrow\ 4x = 36 \]
\[ \frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9 \]
\[ 4\cdot9 + 5 = 36 + 5 = 41 \checkmark \]

Trying values of x in 4x + 5 = 41

x4x + 5Equals 41?
733no
837no
941yes
1045no
1149no

Questions

What is x in 4x + 5 = 41?

The solution of 4x + 5 = 41 is x = 9.

How do you solve 4x + 5 = 41?

Subtract 5 from both sides to get 4x = 36, then divide both sides by 4 to get x = 9.

How do I check the answer?

Replace x by 9: 4(9) + 5 = 41, which is 41.

Similar equations

    Solve 4x + 5 = 41: x = 9 (steps and check) | WordGPT