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Solve 7x + 3 = 52

The solution of 7x + 3 = 52 is x = 7.

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The lines y = 7x + 3 and y = 52 meet at x = 72468101220406080100x = 7y = 7x + 3y = 52
The lines y = 7x + 3 and y = 52 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+3=527x + 3 = 52
  2. 2

    Subtract 3 from both sides:

    7x+3−3=52−3 ⇒ 7x=497x + 3 - 3 = 52 - 3 \ \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+3=49+3=52✓7\cdot7 + 3 = 49 + 3 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 3 = 52\ \Rightarrow\ x = 7 \]
\[ 7x + 3 = 52 \]
\[ 7x + 3 - 3 = 52 - 3 \ \Rightarrow\ 7x = 49 \]
\[ \frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7 \]
\[ 7\cdot7 + 3 = 49 + 3 = 52 \checkmark \]

Trying values of x in 7x + 3 = 52

x7x + 3Equals 52?
538no
645no
752yes
859no
966no

Questions

What is x in 7x + 3 = 52?

The solution of 7x + 3 = 52 is x = 7.

How do you solve 7x + 3 = 52?

Subtract 3 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) + 3 = 52, which is 52.

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    Solve 7x + 3 = 52: x = 7 (steps and check) | WordGPT