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Solve 7x + 14 = 35

The solution of 7x + 14 = 35 is x = 3.

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The lines y = 7x + 14 and y = 35 meet at x = 3-2246820406080x = 3y = 7x + 14y = 35
The lines y = 7x + 14 and y = 35 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.

    7x+14=357x + 14 = 35
  2. 2

    Subtract 14 from both sides:

    7x+14−14=35−14 ⇒ 7x=217x + 14 - 14 = 35 - 14 \ \Rightarrow\ 7x = 21
  3. 3

    Divide both sides by 7:

    7x7=217 ⇒ x=3\frac{7x}{7} = \frac{21}{7} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    7⋅3+14=21+14=35✓7\cdot3 + 14 = 21 + 14 = 35 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 35\ \Rightarrow\ x = 3 \]
\[ 7x + 14 = 35 \]
\[ 7x + 14 - 14 = 35 - 14 \ \Rightarrow\ 7x = 21 \]
\[ \frac{7x}{7} = \frac{21}{7} \ \Rightarrow\ x = 3 \]
\[ 7\cdot3 + 14 = 21 + 14 = 35 \checkmark \]

Trying values of x in 7x + 14 = 35

x7x + 14Equals 35?
121no
228no
335yes
442no
549no

Questions

What is x in 7x + 14 = 35?

The solution of 7x + 14 = 35 is x = 3.

How do you solve 7x + 14 = 35?

Subtract 14 from both sides to get 7x = 21, then divide both sides by 7 to get x = 3.

How do I check the answer?

Replace x by 3: 7(3) + 14 = 35, which is 35.

Similar equations

    Solve 7x + 14 = 35: x = 3 (steps and check) | WordGPT