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Solve 10x + 14 = 144

The solution of 10x + 14 = 144 is x = 13.

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The lines y = 10x + 14 and y = 144 meet at x = 138101214161880100120140160180200x = 13y = 10x + 14y = 144
The lines y = 10x + 14 and y = 144 meet at x = 13. 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=14410x + 14 = 144
  2. 2

    Subtract 14 from both sides:

    10x+14−14=144−14 ⇒ 10x=13010x + 14 - 14 = 144 - 14 \ \Rightarrow\ 10x = 130
  3. 3

    Divide both sides by 10:

    10x10=13010 ⇒ x=13\frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    10⋅13+14=130+14=144✓10\cdot13 + 14 = 130 + 14 = 144 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 14 = 144\ \Rightarrow\ x = 13 \]
\[ 10x + 14 = 144 \]
\[ 10x + 14 - 14 = 144 - 14 \ \Rightarrow\ 10x = 130 \]
\[ \frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13 \]
\[ 10\cdot13 + 14 = 130 + 14 = 144 \checkmark \]

Trying values of x in 10x + 14 = 144

x10x + 14Equals 144?
11124no
12134no
13144yes
14154no
15164no

Questions

What is x in 10x + 14 = 144?

The solution of 10x + 14 = 144 is x = 13.

How do you solve 10x + 14 = 144?

Subtract 14 from both sides to get 10x = 130, then divide both sides by 10 to get x = 13.

How do I check the answer?

Replace x by 13: 10(13) + 14 = 144, which is 144.

Similar equations

    Solve 10x + 14 = 144: x = 13 (steps and check) | WordGPT