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Solve 5x + 7 = 52

The solution of 5x + 7 = 52 is x = 9.

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The lines y = 5x + 7 and y = 52 meet at x = 946810121420304050607080x = 9y = 5x + 7y = 52
The lines y = 5x + 7 and y = 52 meet at x = 9. 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=525x + 7 = 52
  2. 2

    Subtract 7 from both sides:

    5x+7−7=52−7 ⇒ 5x=455x + 7 - 7 = 52 - 7 \ \Rightarrow\ 5x = 45
  3. 3

    Divide both sides by 5:

    5x5=455 ⇒ x=9\frac{5x}{5} = \frac{45}{5} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    5⋅9+7=45+7=52✓5\cdot9 + 7 = 45 + 7 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 7 = 52\ \Rightarrow\ x = 9 \]
\[ 5x + 7 = 52 \]
\[ 5x + 7 - 7 = 52 - 7 \ \Rightarrow\ 5x = 45 \]
\[ \frac{5x}{5} = \frac{45}{5} \ \Rightarrow\ x = 9 \]
\[ 5\cdot9 + 7 = 45 + 7 = 52 \checkmark \]

Trying values of x in 5x + 7 = 52

x5x + 7Equals 52?
742no
847no
952yes
1057no
1162no

Questions

What is x in 5x + 7 = 52?

The solution of 5x + 7 = 52 is x = 9.

How do you solve 5x + 7 = 52?

Subtract 7 from both sides to get 5x = 45, then divide both sides by 5 to get x = 9.

How do I check the answer?

Replace x by 9: 5(9) + 7 = 52, which is 52.

Similar equations

    Solve 5x + 7 = 52: x = 9 (steps and check) | WordGPT