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Solve 5x + 7 = 42

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

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The lines y = 5x + 7 and y = 42 meet at x = 72468101210203040506070x = 7y = 5x + 7y = 42
The lines y = 5x + 7 and y = 42 meet at x = 7. 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.

    5x+7=425x + 7 = 42
  2. 2

    Subtract 7 from both sides:

    5x+7−7=42−7 ⇒ 5x=355x + 7 - 7 = 42 - 7 \ \Rightarrow\ 5x = 35
  3. 3

    Divide both sides by 5:

    5x5=355 ⇒ x=7\frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    5⋅7+7=35+7=42✓5\cdot7 + 7 = 35 + 7 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 7 = 42\ \Rightarrow\ x = 7 \]
\[ 5x + 7 = 42 \]
\[ 5x + 7 - 7 = 42 - 7 \ \Rightarrow\ 5x = 35 \]
\[ \frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7 \]
\[ 5\cdot7 + 7 = 35 + 7 = 42 \checkmark \]

Trying values of x in 5x + 7 = 42

x5x + 7Equals 42?
532no
637no
742yes
847no
952no

Questions

What is x in 5x + 7 = 42?

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

How do you solve 5x + 7 = 42?

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

How do I check the answer?

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

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