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Solve 6x + 13 = 127

The solution of 6x + 13 = 127 is x = 19.

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The lines y = 6x + 13 and y = 127 meet at x = 1914161820222490100110120130140150160170x = 19y = 6x + 13y = 127
The lines y = 6x + 13 and y = 127 meet at x = 19. 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=1276x + 13 = 127
  2. 2

    Subtract 13 from both sides:

    6x+13−13=127−13 ⇒ 6x=1146x + 13 - 13 = 127 - 13 \ \Rightarrow\ 6x = 114
  3. 3

    Divide both sides by 6:

    6x6=1146 ⇒ x=19\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    6⋅19+13=114+13=127✓6\cdot19 + 13 = 114 + 13 = 127 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 127\ \Rightarrow\ x = 19 \]
\[ 6x + 13 = 127 \]
\[ 6x + 13 - 13 = 127 - 13 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 + 13 = 114 + 13 = 127 \checkmark \]

Trying values of x in 6x + 13 = 127

x6x + 13Equals 127?
17115no
18121no
19127yes
20133no
21139no

Questions

What is x in 6x + 13 = 127?

The solution of 6x + 13 = 127 is x = 19.

How do you solve 6x + 13 = 127?

Subtract 13 from both sides to get 6x = 114, then divide both sides by 6 to get x = 19.

How do I check the answer?

Replace x by 19: 6(19) + 13 = 127, which is 127.

Similar equations

    Solve 6x + 13 = 127: x = 19 (steps and check) | WordGPT