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Solve 7x + 14 = 56

The solution of 7x + 14 = 56 is x = 6.

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The lines y = 7x + 14 and y = 56 meet at x = 62468101220406080100x = 6y = 7x + 14y = 56
The lines y = 7x + 14 and y = 56 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.

    7x+14=567x + 14 = 56
  2. 2

    Subtract 14 from both sides:

    7x+14−14=56−14 ⇒ 7x=427x + 14 - 14 = 56 - 14 \ \Rightarrow\ 7x = 42
  3. 3

    Divide both sides by 7:

    7x7=427 ⇒ x=6\frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    7⋅6+14=42+14=56✓7\cdot6 + 14 = 42 + 14 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 56\ \Rightarrow\ x = 6 \]
\[ 7x + 14 = 56 \]
\[ 7x + 14 - 14 = 56 - 14 \ \Rightarrow\ 7x = 42 \]
\[ \frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6 \]
\[ 7\cdot6 + 14 = 42 + 14 = 56 \checkmark \]

Trying values of x in 7x + 14 = 56

x7x + 14Equals 56?
442no
549no
656yes
763no
870no

Questions

What is x in 7x + 14 = 56?

The solution of 7x + 14 = 56 is x = 6.

How do you solve 7x + 14 = 56?

Subtract 14 from both sides to get 7x = 42, then divide both sides by 7 to get x = 6.

How do I check the answer?

Replace x by 6: 7(6) + 14 = 56, which is 56.

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    Solve 7x + 14 = 56: x = 6 (steps and check) | WordGPT