WordGPT

Solve 6x + 15 = 117

The solution of 6x + 15 = 117 is x = 17.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 15 and y = 117 meet at x = 171214161820228090100110120130140150160x = 17y = 6x + 15y = 117
The lines y = 6x + 15 and y = 117 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+15=1176x + 15 = 117
  2. 2

    Subtract 15 from both sides:

    6x+15−15=117−15 ⇒ 6x=1026x + 15 - 15 = 117 - 15 \ \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+15=102+15=117✓6\cdot17 + 15 = 102 + 15 = 117 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 15 = 117\ \Rightarrow\ x = 17 \]
\[ 6x + 15 = 117 \]
\[ 6x + 15 - 15 = 117 - 15 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 + 15 = 102 + 15 = 117 \checkmark \]

Trying values of x in 6x + 15 = 117

x6x + 15Equals 117?
15105no
16111no
17117yes
18123no
19129no

Questions

What is x in 6x + 15 = 117?

The solution of 6x + 15 = 117 is x = 17.

How do you solve 6x + 15 = 117?

Subtract 15 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) + 15 = 117, which is 117.

Similar equations

    Solve 6x + 15 = 117: x = 17 (steps and check) | WordGPT