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Solve 10x + 14 = 204

The solution of 10x + 14 = 204 is x = 19.

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The lines y = 10x + 14 and y = 204 meet at x = 19141618202224140160180200220240260x = 19y = 10x + 14y = 204
The lines y = 10x + 14 and y = 204 meet at x = 19. 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=20410x + 14 = 204
  2. 2

    Subtract 14 from both sides:

    10x+14−14=204−14 ⇒ 10x=19010x + 14 - 14 = 204 - 14 \ \Rightarrow\ 10x = 190
  3. 3

    Divide both sides by 10:

    10x10=19010 ⇒ x=19\frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    10⋅19+14=190+14=204✓10\cdot19 + 14 = 190 + 14 = 204 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 14 = 204\ \Rightarrow\ x = 19 \]
\[ 10x + 14 = 204 \]
\[ 10x + 14 - 14 = 204 - 14 \ \Rightarrow\ 10x = 190 \]
\[ \frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19 \]
\[ 10\cdot19 + 14 = 190 + 14 = 204 \checkmark \]

Trying values of x in 10x + 14 = 204

x10x + 14Equals 204?
17184no
18194no
19204yes
20214no
21224no

Questions

What is x in 10x + 14 = 204?

The solution of 10x + 14 = 204 is x = 19.

How do you solve 10x + 14 = 204?

Subtract 14 from both sides to get 10x = 190, then divide both sides by 10 to get x = 19.

How do I check the answer?

Replace x by 19: 10(19) + 14 = 204, which is 204.

Similar equations

    Solve 10x + 14 = 204: x = 19 (steps and check) | WordGPT