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Solve 6x + 15 = 51

The solution of 6x + 15 = 51 is x = 6.

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The lines y = 6x + 15 and y = 51 meet at x = 624681012102030405060708090x = 6y = 6x + 15y = 51
The lines y = 6x + 15 and y = 51 meet at x = 6. 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.

    6x+15=516x + 15 = 51
  2. 2

    Subtract 15 from both sides:

    6x+15−15=51−15 ⇒ 6x=366x + 15 - 15 = 51 - 15 \ \Rightarrow\ 6x = 36
  3. 3

    Divide both sides by 6:

    6x6=366 ⇒ x=6\frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    6⋅6+15=36+15=51✓6\cdot6 + 15 = 36 + 15 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 15 = 51\ \Rightarrow\ x = 6 \]
\[ 6x + 15 = 51 \]
\[ 6x + 15 - 15 = 51 - 15 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 + 15 = 36 + 15 = 51 \checkmark \]

Trying values of x in 6x + 15 = 51

x6x + 15Equals 51?
439no
545no
651yes
757no
863no

Questions

What is x in 6x + 15 = 51?

The solution of 6x + 15 = 51 is x = 6.

How do you solve 6x + 15 = 51?

Subtract 15 from both sides to get 6x = 36, then divide both sides by 6 to get x = 6.

How do I check the answer?

Replace x by 6: 6(6) + 15 = 51, which is 51.

Similar equations

    Solve 6x + 15 = 51: x = 6 (steps and check) | WordGPT