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Solve 10x + 14 = 184

The solution of 10x + 14 = 184 is x = 17.

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The lines y = 10x + 14 and y = 184 meet at x = 17121416182022120140160180200220240x = 17y = 10x + 14y = 184
The lines y = 10x + 14 and y = 184 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.

    10x+14=18410x + 14 = 184
  2. 2

    Subtract 14 from both sides:

    10x+14−14=184−14 ⇒ 10x=17010x + 14 - 14 = 184 - 14 \ \Rightarrow\ 10x = 170
  3. 3

    Divide both sides by 10:

    10x10=17010 ⇒ x=17\frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    10⋅17+14=170+14=184✓10\cdot17 + 14 = 170 + 14 = 184 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 14 = 184\ \Rightarrow\ x = 17 \]
\[ 10x + 14 = 184 \]
\[ 10x + 14 - 14 = 184 - 14 \ \Rightarrow\ 10x = 170 \]
\[ \frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17 \]
\[ 10\cdot17 + 14 = 170 + 14 = 184 \checkmark \]

Trying values of x in 10x + 14 = 184

x10x + 14Equals 184?
15164no
16174no
17184yes
18194no
19204no

Questions

What is x in 10x + 14 = 184?

The solution of 10x + 14 = 184 is x = 17.

How do you solve 10x + 14 = 184?

Subtract 14 from both sides to get 10x = 170, then divide both sides by 10 to get x = 17.

How do I check the answer?

Replace x by 17: 10(17) + 14 = 184, which is 184.

Similar equations

    Solve 10x + 14 = 184: x = 17 (steps and check) | WordGPT