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Solve 3x + 13 = 46

The solution of 3x + 13 = 46 is x = 11.

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The lines y = 3x + 13 and y = 46 meet at x = 116810121416253035404550556065x = 11y = 3x + 13y = 46
The lines y = 3x + 13 and y = 46 meet at x = 11. 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=463x + 13 = 46
  2. 2

    Subtract 13 from both sides:

    3x+13−13=46−13 ⇒ 3x=333x + 13 - 13 = 46 - 13 \ \Rightarrow\ 3x = 33
  3. 3

    Divide both sides by 3:

    3x3=333 ⇒ x=11\frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    3⋅11+13=33+13=46✓3\cdot11 + 13 = 33 + 13 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 46\ \Rightarrow\ x = 11 \]
\[ 3x + 13 = 46 \]
\[ 3x + 13 - 13 = 46 - 13 \ \Rightarrow\ 3x = 33 \]
\[ \frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11 \]
\[ 3\cdot11 + 13 = 33 + 13 = 46 \checkmark \]

Trying values of x in 3x + 13 = 46

x3x + 13Equals 46?
940no
1043no
1146yes
1249no
1352no

Questions

What is x in 3x + 13 = 46?

The solution of 3x + 13 = 46 is x = 11.

How do you solve 3x + 13 = 46?

Subtract 13 from both sides to get 3x = 33, then divide both sides by 3 to get x = 11.

How do I check the answer?

Replace x by 11: 3(11) + 13 = 46, which is 46.

Similar equations

    Solve 3x + 13 = 46: x = 11 (steps and check) | WordGPT