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Solve 3x + 13 = 43

The solution of 3x + 13 = 43 is x = 10.

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The lines y = 3x + 13 and y = 43 meet at x = 10468101214162530354045505560x = 10y = 3x + 13y = 43
The lines y = 3x + 13 and y = 43 meet at x = 10. 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=433x + 13 = 43
  2. 2

    Subtract 13 from both sides:

    3x+13−13=43−13 ⇒ 3x=303x + 13 - 13 = 43 - 13 \ \Rightarrow\ 3x = 30
  3. 3

    Divide both sides by 3:

    3x3=303 ⇒ x=10\frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    3⋅10+13=30+13=43✓3\cdot10 + 13 = 30 + 13 = 43 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 43\ \Rightarrow\ x = 10 \]
\[ 3x + 13 = 43 \]
\[ 3x + 13 - 13 = 43 - 13 \ \Rightarrow\ 3x = 30 \]
\[ \frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10 \]
\[ 3\cdot10 + 13 = 30 + 13 = 43 \checkmark \]

Trying values of x in 3x + 13 = 43

x3x + 13Equals 43?
837no
940no
1043yes
1146no
1249no

Questions

What is x in 3x + 13 = 43?

The solution of 3x + 13 = 43 is x = 10.

How do you solve 3x + 13 = 43?

Subtract 13 from both sides to get 3x = 30, then divide both sides by 3 to get x = 10.

How do I check the answer?

Replace x by 10: 3(10) + 13 = 43, which is 43.

Similar equations

    Solve 3x + 13 = 43: x = 10 (steps and check) | WordGPT