WordGPT

Solve 8x + 5 = 117

The solution of 8x + 5 = 117 is x = 14.

Explain it step by step in chatMake a short video of it
The lines y = 8x + 5 and y = 117 meet at x = 1481012141618206080100120140160x = 14y = 8x + 5y = 117
The lines y = 8x + 5 and y = 117 meet at x = 14. 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.

    8x+5=1178x + 5 = 117
  2. 2

    Subtract 5 from both sides:

    8x+5−5=117−5 ⇒ 8x=1128x + 5 - 5 = 117 - 5 \ \Rightarrow\ 8x = 112
  3. 3

    Divide both sides by 8:

    8x8=1128 ⇒ x=14\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    8⋅14+5=112+5=117✓8\cdot14 + 5 = 112 + 5 = 117 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 5 = 117\ \Rightarrow\ x = 14 \]
\[ 8x + 5 = 117 \]
\[ 8x + 5 - 5 = 117 - 5 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 + 5 = 112 + 5 = 117 \checkmark \]

Trying values of x in 8x + 5 = 117

x8x + 5Equals 117?
12101no
13109no
14117yes
15125no
16133no

Questions

What is x in 8x + 5 = 117?

The solution of 8x + 5 = 117 is x = 14.

How do you solve 8x + 5 = 117?

Subtract 5 from both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) + 5 = 117, which is 117.

Similar equations

    Solve 8x + 5 = 117: x = 14 (steps and check) | WordGPT