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Solve 7x + 5 = 54

The solution of 7x + 5 = 54 is x = 7.

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The lines y = 7x + 5 and y = 54 meet at x = 72468101220406080100x = 7y = 7x + 5y = 54
The lines y = 7x + 5 and y = 54 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.

    7x+5=547x + 5 = 54
  2. 2

    Subtract 5 from both sides:

    7x+5−5=54−5 ⇒ 7x=497x + 5 - 5 = 54 - 5 \ \Rightarrow\ 7x = 49
  3. 3

    Divide both sides by 7:

    7x7=497 ⇒ x=7\frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    7⋅7+5=49+5=54✓7\cdot7 + 5 = 49 + 5 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 5 = 54\ \Rightarrow\ x = 7 \]
\[ 7x + 5 = 54 \]
\[ 7x + 5 - 5 = 54 - 5 \ \Rightarrow\ 7x = 49 \]
\[ \frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7 \]
\[ 7\cdot7 + 5 = 49 + 5 = 54 \checkmark \]

Trying values of x in 7x + 5 = 54

x7x + 5Equals 54?
540no
647no
754yes
861no
968no

Questions

What is x in 7x + 5 = 54?

The solution of 7x + 5 = 54 is x = 7.

How do you solve 7x + 5 = 54?

Subtract 5 from both sides to get 7x = 49, then divide both sides by 7 to get x = 7.

How do I check the answer?

Replace x by 7: 7(7) + 5 = 54, which is 54.

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    Solve 7x + 5 = 54: x = 7 (steps and check) | WordGPT