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Solve 7x + 14 = 21

The solution of 7x + 14 = 21 is x = 1.

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The lines y = 7x + 14 and y = 21 meet at x = 1-4-2246-20204060x = 1y = 7x + 14y = 21
The lines y = 7x + 14 and y = 21 meet at x = 1. 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.

    7x+14=217x + 14 = 21
  2. 2

    Subtract 14 from both sides:

    7x+14−14=21−14 ⇒ 7x=77x + 14 - 14 = 21 - 14 \ \Rightarrow\ 7x = 7
  3. 3

    Divide both sides by 7:

    7x7=77 ⇒ x=1\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    7⋅1+14=7+14=21✓7\cdot1 + 14 = 7 + 14 = 21 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 21\ \Rightarrow\ x = 1 \]
\[ 7x + 14 = 21 \]
\[ 7x + 14 - 14 = 21 - 14 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 14 = 7 + 14 = 21 \checkmark \]

Trying values of x in 7x + 14 = 21

x7x + 14Equals 21?
-17no
014no
121yes
228no
335no

Questions

What is x in 7x + 14 = 21?

The solution of 7x + 14 = 21 is x = 1.

How do you solve 7x + 14 = 21?

Subtract 14 from both sides to get 7x = 7, then divide both sides by 7 to get x = 1.

How do I check the answer?

Replace x by 1: 7(1) + 14 = 21, which is 21.

Similar equations

    Solve 7x + 14 = 21: x = 1 (steps and check) | WordGPT