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Solve 3x + 13 = 49

The solution of 3x + 13 = 49 is x = 12.

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The lines y = 3x + 13 and y = 49 meet at x = 12681012141618303540455055606570x = 12y = 3x + 13y = 49
The lines y = 3x + 13 and y = 49 meet at x = 12. 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+13=493x + 13 = 49
  2. 2

    Subtract 13 from both sides:

    3x+13−13=49−13 ⇒ 3x=363x + 13 - 13 = 49 - 13 \ \Rightarrow\ 3x = 36
  3. 3

    Divide both sides by 3:

    3x3=363 ⇒ x=12\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    3⋅12+13=36+13=49✓3\cdot12 + 13 = 36 + 13 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 49\ \Rightarrow\ x = 12 \]
\[ 3x + 13 = 49 \]
\[ 3x + 13 - 13 = 49 - 13 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 + 13 = 36 + 13 = 49 \checkmark \]

Trying values of x in 3x + 13 = 49

x3x + 13Equals 49?
1043no
1146no
1249yes
1352no
1455no

Questions

What is x in 3x + 13 = 49?

The solution of 3x + 13 = 49 is x = 12.

How do you solve 3x + 13 = 49?

Subtract 13 from both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) + 13 = 49, which is 49.

Similar equations

    Solve 3x + 13 = 49: x = 12 (steps and check) | WordGPT