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Solve 6x + 13 = 103

The solution of 6x + 13 = 103 is x = 15.

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The lines y = 6x + 13 and y = 103 meet at x = 1510121416182060708090100110120130140x = 15y = 6x + 13y = 103
The lines y = 6x + 13 and y = 103 meet at x = 15. 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.

    6x+13=1036x + 13 = 103
  2. 2

    Subtract 13 from both sides:

    6x+13−13=103−13 ⇒ 6x=906x + 13 - 13 = 103 - 13 \ \Rightarrow\ 6x = 90
  3. 3

    Divide both sides by 6:

    6x6=906 ⇒ x=15\frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    6⋅15+13=90+13=103✓6\cdot15 + 13 = 90 + 13 = 103 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 103\ \Rightarrow\ x = 15 \]
\[ 6x + 13 = 103 \]
\[ 6x + 13 - 13 = 103 - 13 \ \Rightarrow\ 6x = 90 \]
\[ \frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15 \]
\[ 6\cdot15 + 13 = 90 + 13 = 103 \checkmark \]

Trying values of x in 6x + 13 = 103

x6x + 13Equals 103?
1391no
1497no
15103yes
16109no
17115no

Questions

What is x in 6x + 13 = 103?

The solution of 6x + 13 = 103 is x = 15.

How do you solve 6x + 13 = 103?

Subtract 13 from both sides to get 6x = 90, then divide both sides by 6 to get x = 15.

How do I check the answer?

Replace x by 15: 6(15) + 13 = 103, which is 103.

Similar equations

    Solve 6x + 13 = 103: x = 15 (steps and check) | WordGPT