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Solve 6x + 5 = 113

The solution of 6x + 5 = 113 is x = 18.

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The lines y = 6x + 5 and y = 113 meet at x = 1812141618202224708090100110120130140150x = 18y = 6x + 5y = 113
The lines y = 6x + 5 and y = 113 meet at x = 18. 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+5=1136x + 5 = 113
  2. 2

    Subtract 5 from both sides:

    6x+5−5=113−5 ⇒ 6x=1086x + 5 - 5 = 113 - 5 \ \Rightarrow\ 6x = 108
  3. 3

    Divide both sides by 6:

    6x6=1086 ⇒ x=18\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    6⋅18+5=108+5=113✓6\cdot18 + 5 = 108 + 5 = 113 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 5 = 113\ \Rightarrow\ x = 18 \]
\[ 6x + 5 = 113 \]
\[ 6x + 5 - 5 = 113 - 5 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 + 5 = 108 + 5 = 113 \checkmark \]

Trying values of x in 6x + 5 = 113

x6x + 5Equals 113?
16101no
17107no
18113yes
19119no
20125no

Questions

What is x in 6x + 5 = 113?

The solution of 6x + 5 = 113 is x = 18.

How do you solve 6x + 5 = 113?

Subtract 5 from both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) + 5 = 113, which is 113.

Similar equations

    Solve 6x + 5 = 113: x = 18 (steps and check) | WordGPT