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Solve 4x + 6 = 66

The solution of 4x + 6 = 66 is x = 15.

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The lines y = 4x + 6 and y = 66 meet at x = 15101214161820405060708090x = 15y = 4x + 6y = 66
The lines y = 4x + 6 and y = 66 meet at x = 15. 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=664x + 6 = 66
  2. 2

    Subtract 6 from both sides:

    4x+6−6=66−6 ⇒ 4x=604x + 6 - 6 = 66 - 6 \ \Rightarrow\ 4x = 60
  3. 3

    Divide both sides by 4:

    4x4=604 ⇒ x=15\frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    4⋅15+6=60+6=66✓4\cdot15 + 6 = 60 + 6 = 66 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 6 = 66\ \Rightarrow\ x = 15 \]
\[ 4x + 6 = 66 \]
\[ 4x + 6 - 6 = 66 - 6 \ \Rightarrow\ 4x = 60 \]
\[ \frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15 \]
\[ 4\cdot15 + 6 = 60 + 6 = 66 \checkmark \]

Trying values of x in 4x + 6 = 66

x4x + 6Equals 66?
1358no
1462no
1566yes
1670no
1774no

Questions

What is x in 4x + 6 = 66?

The solution of 4x + 6 = 66 is x = 15.

How do you solve 4x + 6 = 66?

Subtract 6 from both sides to get 4x = 60, then divide both sides by 4 to get x = 15.

How do I check the answer?

Replace x by 15: 4(15) + 6 = 66, which is 66.

Similar equations

    Solve 4x + 6 = 66: x = 15 (steps and check) | WordGPT