WordGPT

Solve 10x + 14 = 164

The solution of 10x + 14 = 164 is x = 15.

Explain it step by step in chatMake a short video of it
The lines y = 10x + 14 and y = 164 meet at x = 15101214161820100120140160180200220x = 15y = 10x + 14y = 164
The lines y = 10x + 14 and y = 164 meet at x = 15. 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.

    10x+14=16410x + 14 = 164
  2. 2

    Subtract 14 from both sides:

    10x+14−14=164−14 ⇒ 10x=15010x + 14 - 14 = 164 - 14 \ \Rightarrow\ 10x = 150
  3. 3

    Divide both sides by 10:

    10x10=15010 ⇒ x=15\frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    10⋅15+14=150+14=164✓10\cdot15 + 14 = 150 + 14 = 164 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 14 = 164\ \Rightarrow\ x = 15 \]
\[ 10x + 14 = 164 \]
\[ 10x + 14 - 14 = 164 - 14 \ \Rightarrow\ 10x = 150 \]
\[ \frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15 \]
\[ 10\cdot15 + 14 = 150 + 14 = 164 \checkmark \]

Trying values of x in 10x + 14 = 164

x10x + 14Equals 164?
13144no
14154no
15164yes
16174no
17184no

Questions

What is x in 10x + 14 = 164?

The solution of 10x + 14 = 164 is x = 15.

How do you solve 10x + 14 = 164?

Subtract 14 from both sides to get 10x = 150, then divide both sides by 10 to get x = 15.

How do I check the answer?

Replace x by 15: 10(15) + 14 = 164, which is 164.

Similar equations

    Solve 10x + 14 = 164: x = 15 (steps and check) | WordGPT