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Solve 7x + 4 = 81

The solution of 7x + 4 = 81 is x = 11.

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The lines y = 7x + 4 and y = 81 meet at x = 116810121416406080100120x = 11y = 7x + 4y = 81
The lines y = 7x + 4 and y = 81 meet at x = 11. 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.

    7x+4=817x + 4 = 81
  2. 2

    Subtract 4 from both sides:

    7x+4−4=81−4 ⇒ 7x=777x + 4 - 4 = 81 - 4 \ \Rightarrow\ 7x = 77
  3. 3

    Divide both sides by 7:

    7x7=777 ⇒ x=11\frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    7⋅11+4=77+4=81✓7\cdot11 + 4 = 77 + 4 = 81 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 4 = 81\ \Rightarrow\ x = 11 \]
\[ 7x + 4 = 81 \]
\[ 7x + 4 - 4 = 81 - 4 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 4 = 77 + 4 = 81 \checkmark \]

Trying values of x in 7x + 4 = 81

x7x + 4Equals 81?
967no
1074no
1181yes
1288no
1395no

Questions

What is x in 7x + 4 = 81?

The solution of 7x + 4 = 81 is x = 11.

How do you solve 7x + 4 = 81?

Subtract 4 from both sides to get 7x = 77, then divide both sides by 7 to get x = 11.

How do I check the answer?

Replace x by 11: 7(11) + 4 = 81, which is 81.

Similar equations

    Solve 7x + 4 = 81: x = 11 (steps and check) | WordGPT