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Solve 3x + 6 = 45

The solution of 3x + 6 = 45 is x = 13.

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The lines y = 3x + 6 and y = 45 meet at x = 1381012141618253035404550556065x = 13y = 3x + 6y = 45
The lines y = 3x + 6 and y = 45 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+6=453x + 6 = 45
  2. 2

    Subtract 6 from both sides:

    3x+6−6=45−6 ⇒ 3x=393x + 6 - 6 = 45 - 6 \ \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+6=39+6=45✓3\cdot13 + 6 = 39 + 6 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 6 = 45\ \Rightarrow\ x = 13 \]
\[ 3x + 6 = 45 \]
\[ 3x + 6 - 6 = 45 - 6 \ \Rightarrow\ 3x = 39 \]
\[ \frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13 \]
\[ 3\cdot13 + 6 = 39 + 6 = 45 \checkmark \]

Trying values of x in 3x + 6 = 45

x3x + 6Equals 45?
1139no
1242no
1345yes
1448no
1551no

Questions

What is x in 3x + 6 = 45?

The solution of 3x + 6 = 45 is x = 13.

How do you solve 3x + 6 = 45?

Subtract 6 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) + 6 = 45, which is 45.

Similar equations

    Solve 3x + 6 = 45: x = 13 (steps and check) | WordGPT