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Solve 6x + 3 = 21

The solution of 6x + 3 = 21 is x = 3.

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The lines y = 6x + 3 and y = 21 meet at x = 3-22468-20-10102030405060x = 3y = 6x + 3y = 21
The lines y = 6x + 3 and y = 21 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.

    6x+3=216x + 3 = 21
  2. 2

    Subtract 3 from both sides:

    6x+3−3=21−3 ⇒ 6x=186x + 3 - 3 = 21 - 3 \ \Rightarrow\ 6x = 18
  3. 3

    Divide both sides by 6:

    6x6=186 ⇒ x=3\frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    6⋅3+3=18+3=21✓6\cdot3 + 3 = 18 + 3 = 21 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 21\ \Rightarrow\ x = 3 \]
\[ 6x + 3 = 21 \]
\[ 6x + 3 - 3 = 21 - 3 \ \Rightarrow\ 6x = 18 \]
\[ \frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3 \]
\[ 6\cdot3 + 3 = 18 + 3 = 21 \checkmark \]

Trying values of x in 6x + 3 = 21

x6x + 3Equals 21?
19no
215no
321yes
427no
533no

Questions

What is x in 6x + 3 = 21?

The solution of 6x + 3 = 21 is x = 3.

How do you solve 6x + 3 = 21?

Subtract 3 from both sides to get 6x = 18, then divide both sides by 6 to get x = 3.

How do I check the answer?

Replace x by 3: 6(3) + 3 = 21, which is 21.

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    Solve 6x + 3 = 21: x = 3 (steps and check) | WordGPT