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Solve 3x + 7 = 46

The solution of 3x + 7 = 46 is x = 13.

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The lines y = 3x + 7 and y = 46 meet at x = 1381012141618253035404550556065x = 13y = 3x + 7y = 46
The lines y = 3x + 7 and y = 46 meet at x = 13. 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=463x + 7 = 46
  2. 2

    Subtract 7 from both sides:

    3x+7−7=46−7 ⇒ 3x=393x + 7 - 7 = 46 - 7 \ \Rightarrow\ 3x = 39
  3. 3

    Divide both sides by 3:

    3x3=393 ⇒ x=13\frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    3⋅13+7=39+7=46✓3\cdot13 + 7 = 39 + 7 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 46\ \Rightarrow\ x = 13 \]
\[ 3x + 7 = 46 \]
\[ 3x + 7 - 7 = 46 - 7 \ \Rightarrow\ 3x = 39 \]
\[ \frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13 \]
\[ 3\cdot13 + 7 = 39 + 7 = 46 \checkmark \]

Trying values of x in 3x + 7 = 46

x3x + 7Equals 46?
1140no
1243no
1346yes
1449no
1552no

Questions

What is x in 3x + 7 = 46?

The solution of 3x + 7 = 46 is x = 13.

How do you solve 3x + 7 = 46?

Subtract 7 from both sides to get 3x = 39, then divide both sides by 3 to get x = 13.

How do I check the answer?

Replace x by 13: 3(13) + 7 = 46, which is 46.

Similar equations

    Solve 3x + 7 = 46: x = 13 (steps and check) | WordGPT