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Solve 6x + 13 = 61

The solution of 6x + 13 = 61 is x = 8.

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The lines y = 6x + 13 and y = 61 meet at x = 824681012142030405060708090100x = 8y = 6x + 13y = 61
The lines y = 6x + 13 and y = 61 meet at x = 8. 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=616x + 13 = 61
  2. 2

    Subtract 13 from both sides:

    6x+13−13=61−13 ⇒ 6x=486x + 13 - 13 = 61 - 13 \ \Rightarrow\ 6x = 48
  3. 3

    Divide both sides by 6:

    6x6=486 ⇒ x=8\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    6⋅8+13=48+13=61✓6\cdot8 + 13 = 48 + 13 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 61\ \Rightarrow\ x = 8 \]
\[ 6x + 13 = 61 \]
\[ 6x + 13 - 13 = 61 - 13 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 + 13 = 48 + 13 = 61 \checkmark \]

Trying values of x in 6x + 13 = 61

x6x + 13Equals 61?
649no
755no
861yes
967no
1073no

Questions

What is x in 6x + 13 = 61?

The solution of 6x + 13 = 61 is x = 8.

How do you solve 6x + 13 = 61?

Subtract 13 from both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) + 13 = 61, which is 61.

Similar equations

    Solve 6x + 13 = 61: x = 8 (steps and check) | WordGPT