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Solve 4x + 5 = 77

The solution of 4x + 5 = 77 is x = 18.

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The lines y = 4x + 5 and y = 77 meet at x = 18121416182022245060708090100x = 18y = 4x + 5y = 77
The lines y = 4x + 5 and y = 77 meet at x = 18. 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=774x + 5 = 77
  2. 2

    Subtract 5 from both sides:

    4x+5−5=77−5 ⇒ 4x=724x + 5 - 5 = 77 - 5 \ \Rightarrow\ 4x = 72
  3. 3

    Divide both sides by 4:

    4x4=724 ⇒ x=18\frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    4⋅18+5=72+5=77✓4\cdot18 + 5 = 72 + 5 = 77 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 5 = 77\ \Rightarrow\ x = 18 \]
\[ 4x + 5 = 77 \]
\[ 4x + 5 - 5 = 77 - 5 \ \Rightarrow\ 4x = 72 \]
\[ \frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18 \]
\[ 4\cdot18 + 5 = 72 + 5 = 77 \checkmark \]

Trying values of x in 4x + 5 = 77

x4x + 5Equals 77?
1669no
1773no
1877yes
1981no
2085no

Questions

What is x in 4x + 5 = 77?

The solution of 4x + 5 = 77 is x = 18.

How do you solve 4x + 5 = 77?

Subtract 5 from both sides to get 4x = 72, then divide both sides by 4 to get x = 18.

How do I check the answer?

Replace x by 18: 4(18) + 5 = 77, which is 77.

Similar equations

    Solve 4x + 5 = 77: x = 18 (steps and check) | WordGPT