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Solve 10x + 6 = 36

The solution of 10x + 6 = 36 is x = 3.

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The lines y = 10x + 6 and y = 36 meet at x = 3-22468-2020406080100x = 3y = 10x + 6y = 36
The lines y = 10x + 6 and y = 36 meet at x = 3. 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.

    10x+6=3610x + 6 = 36
  2. 2

    Subtract 6 from both sides:

    10x+6−6=36−6 ⇒ 10x=3010x + 6 - 6 = 36 - 6 \ \Rightarrow\ 10x = 30
  3. 3

    Divide both sides by 10:

    10x10=3010 ⇒ x=3\frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    10⋅3+6=30+6=36✓10\cdot3 + 6 = 30 + 6 = 36 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 6 = 36\ \Rightarrow\ x = 3 \]
\[ 10x + 6 = 36 \]
\[ 10x + 6 - 6 = 36 - 6 \ \Rightarrow\ 10x = 30 \]
\[ \frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3 \]
\[ 10\cdot3 + 6 = 30 + 6 = 36 \checkmark \]

Trying values of x in 10x + 6 = 36

x10x + 6Equals 36?
116no
226no
336yes
446no
556no

Questions

What is x in 10x + 6 = 36?

The solution of 10x + 6 = 36 is x = 3.

How do you solve 10x + 6 = 36?

Subtract 6 from both sides to get 10x = 30, then divide both sides by 10 to get x = 3.

How do I check the answer?

Replace x by 3: 10(3) + 6 = 36, which is 36.

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    Solve 10x + 6 = 36: x = 3 (steps and check) | WordGPT