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Solve 3x + 7 = 52

The solution of 3x + 7 = 52 is x = 15.

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The lines y = 3x + 7 and y = 52 meet at x = 151012141618203540455055606570x = 15y = 3x + 7y = 52
The lines y = 3x + 7 and y = 52 meet at x = 15. 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.

    3x+7=523x + 7 = 52
  2. 2

    Subtract 7 from both sides:

    3x+7−7=52−7 ⇒ 3x=453x + 7 - 7 = 52 - 7 \ \Rightarrow\ 3x = 45
  3. 3

    Divide both sides by 3:

    3x3=453 ⇒ x=15\frac{3x}{3} = \frac{45}{3} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    3⋅15+7=45+7=52✓3\cdot15 + 7 = 45 + 7 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 52\ \Rightarrow\ x = 15 \]
\[ 3x + 7 = 52 \]
\[ 3x + 7 - 7 = 52 - 7 \ \Rightarrow\ 3x = 45 \]
\[ \frac{3x}{3} = \frac{45}{3} \ \Rightarrow\ x = 15 \]
\[ 3\cdot15 + 7 = 45 + 7 = 52 \checkmark \]

Trying values of x in 3x + 7 = 52

x3x + 7Equals 52?
1346no
1449no
1552yes
1655no
1758no

Questions

What is x in 3x + 7 = 52?

The solution of 3x + 7 = 52 is x = 15.

How do you solve 3x + 7 = 52?

Subtract 7 from both sides to get 3x = 45, then divide both sides by 3 to get x = 15.

How do I check the answer?

Replace x by 15: 3(15) + 7 = 52, which is 52.

Similar equations

    Solve 3x + 7 = 52: x = 15 (steps and check) | WordGPT