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Solve 4x + 6 = 42

The solution of 4x + 6 = 42 is x = 9.

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The lines y = 4x + 6 and y = 42 meet at x = 9468101214203040506070x = 9y = 4x + 6y = 42
The lines y = 4x + 6 and y = 42 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+6=424x + 6 = 42
  2. 2

    Subtract 6 from both sides:

    4x+6−6=42−6 ⇒ 4x=364x + 6 - 6 = 42 - 6 \ \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+6=36+6=42✓4\cdot9 + 6 = 36 + 6 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 6 = 42\ \Rightarrow\ x = 9 \]
\[ 4x + 6 = 42 \]
\[ 4x + 6 - 6 = 42 - 6 \ \Rightarrow\ 4x = 36 \]
\[ \frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9 \]
\[ 4\cdot9 + 6 = 36 + 6 = 42 \checkmark \]

Trying values of x in 4x + 6 = 42

x4x + 6Equals 42?
734no
838no
942yes
1046no
1150no

Questions

What is x in 4x + 6 = 42?

The solution of 4x + 6 = 42 is x = 9.

How do you solve 4x + 6 = 42?

Subtract 6 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) + 6 = 42, which is 42.

Similar equations

    Solve 4x + 6 = 42: x = 9 (steps and check) | WordGPT