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Solve 6x + 5 = 107

The solution of 6x + 5 = 107 is x = 17.

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The lines y = 6x + 5 and y = 107 meet at x = 17121416182022708090100110120130140150x = 17y = 6x + 5y = 107
The lines y = 6x + 5 and y = 107 meet at x = 17. 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=1076x + 5 = 107
  2. 2

    Subtract 5 from both sides:

    6x+5−5=107−5 ⇒ 6x=1026x + 5 - 5 = 107 - 5 \ \Rightarrow\ 6x = 102
  3. 3

    Divide both sides by 6:

    6x6=1026 ⇒ x=17\frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    6⋅17+5=102+5=107✓6\cdot17 + 5 = 102 + 5 = 107 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 5 = 107\ \Rightarrow\ x = 17 \]
\[ 6x + 5 = 107 \]
\[ 6x + 5 - 5 = 107 - 5 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 + 5 = 102 + 5 = 107 \checkmark \]

Trying values of x in 6x + 5 = 107

x6x + 5Equals 107?
1595no
16101no
17107yes
18113no
19119no

Questions

What is x in 6x + 5 = 107?

The solution of 6x + 5 = 107 is x = 17.

How do you solve 6x + 5 = 107?

Subtract 5 from both sides to get 6x = 102, then divide both sides by 6 to get x = 17.

How do I check the answer?

Replace x by 17: 6(17) + 5 = 107, which is 107.

Similar equations

    Solve 6x + 5 = 107: x = 17 (steps and check) | WordGPT