WordGPT

Solve 7x + 5 = 117

The solution of 7x + 5 = 117 is x = 16.

Explain it step by step in chatMake a short video of it
The lines y = 7x + 5 and y = 117 meet at x = 161012141618202280100120140160x = 16y = 7x + 5y = 117
The lines y = 7x + 5 and y = 117 meet at x = 16. 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.

    7x+5=1177x + 5 = 117
  2. 2

    Subtract 5 from both sides:

    7x+5−5=117−5 ⇒ 7x=1127x + 5 - 5 = 117 - 5 \ \Rightarrow\ 7x = 112
  3. 3

    Divide both sides by 7:

    7x7=1127 ⇒ x=16\frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    7⋅16+5=112+5=117✓7\cdot16 + 5 = 112 + 5 = 117 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 5 = 117\ \Rightarrow\ x = 16 \]
\[ 7x + 5 = 117 \]
\[ 7x + 5 - 5 = 117 - 5 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 + 5 = 112 + 5 = 117 \checkmark \]

Trying values of x in 7x + 5 = 117

x7x + 5Equals 117?
14103no
15110no
16117yes
17124no
18131no

Questions

What is x in 7x + 5 = 117?

The solution of 7x + 5 = 117 is x = 16.

How do you solve 7x + 5 = 117?

Subtract 5 from both sides to get 7x = 112, then divide both sides by 7 to get x = 16.

How do I check the answer?

Replace x by 16: 7(16) + 5 = 117, which is 117.

Similar equations

    Solve 7x + 5 = 117: x = 16 (steps and check) | WordGPT