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Solve 4x + 6 = 82

The solution of 4x + 6 = 82 is x = 19.

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The lines y = 4x + 6 and y = 82 meet at x = 1914161820222460708090100110x = 19y = 4x + 6y = 82
The lines y = 4x + 6 and y = 82 meet at x = 19. 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+6=824x + 6 = 82
  2. 2

    Subtract 6 from both sides:

    4x+6−6=82−6 ⇒ 4x=764x + 6 - 6 = 82 - 6 \ \Rightarrow\ 4x = 76
  3. 3

    Divide both sides by 4:

    4x4=764 ⇒ x=19\frac{4x}{4} = \frac{76}{4} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    4⋅19+6=76+6=82✓4\cdot19 + 6 = 76 + 6 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 6 = 82\ \Rightarrow\ x = 19 \]
\[ 4x + 6 = 82 \]
\[ 4x + 6 - 6 = 82 - 6 \ \Rightarrow\ 4x = 76 \]
\[ \frac{4x}{4} = \frac{76}{4} \ \Rightarrow\ x = 19 \]
\[ 4\cdot19 + 6 = 76 + 6 = 82 \checkmark \]

Trying values of x in 4x + 6 = 82

x4x + 6Equals 82?
1774no
1878no
1982yes
2086no
2190no

Questions

What is x in 4x + 6 = 82?

The solution of 4x + 6 = 82 is x = 19.

How do you solve 4x + 6 = 82?

Subtract 6 from both sides to get 4x = 76, then divide both sides by 4 to get x = 19.

How do I check the answer?

Replace x by 19: 4(19) + 6 = 82, which is 82.

Similar equations

    Solve 4x + 6 = 82: x = 19 (steps and check) | WordGPT