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Solve 7x + 7 = 42

The solution of 7x + 7 = 42 is x = 5.

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The lines y = 7x + 7 and y = 42 meet at x = 524681020406080x = 5y = 7x + 7y = 42
The lines y = 7x + 7 and y = 42 meet at x = 5. 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+7=427x + 7 = 42
  2. 2

    Subtract 7 from both sides:

    7x+7−7=42−7 ⇒ 7x=357x + 7 - 7 = 42 - 7 \ \Rightarrow\ 7x = 35
  3. 3

    Divide both sides by 7:

    7x7=357 ⇒ x=5\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    7⋅5+7=35+7=42✓7\cdot5 + 7 = 35 + 7 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 7 = 42\ \Rightarrow\ x = 5 \]
\[ 7x + 7 = 42 \]
\[ 7x + 7 - 7 = 42 - 7 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 + 7 = 35 + 7 = 42 \checkmark \]

Trying values of x in 7x + 7 = 42

x7x + 7Equals 42?
328no
435no
542yes
649no
756no

Questions

What is x in 7x + 7 = 42?

The solution of 7x + 7 = 42 is x = 5.

How do you solve 7x + 7 = 42?

Subtract 7 from both sides to get 7x = 35, then divide both sides by 7 to get x = 5.

How do I check the answer?

Replace x by 5: 7(5) + 7 = 42, which is 42.

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    Solve 7x + 7 = 42: x = 5 (steps and check) | WordGPT