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Solve 10x + 14 = 54

The solution of 10x + 14 = 54 is x = 4.

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The lines y = 10x + 14 and y = 54 meet at x = 4-224681020406080100120x = 4y = 10x + 14y = 54
The lines y = 10x + 14 and y = 54 meet at x = 4. 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=5410x + 14 = 54
  2. 2

    Subtract 14 from both sides:

    10x+14−14=54−14 ⇒ 10x=4010x + 14 - 14 = 54 - 14 \ \Rightarrow\ 10x = 40
  3. 3

    Divide both sides by 10:

    10x10=4010 ⇒ x=4\frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    10⋅4+14=40+14=54✓10\cdot4 + 14 = 40 + 14 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 14 = 54\ \Rightarrow\ x = 4 \]
\[ 10x + 14 = 54 \]
\[ 10x + 14 - 14 = 54 - 14 \ \Rightarrow\ 10x = 40 \]
\[ \frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4 \]
\[ 10\cdot4 + 14 = 40 + 14 = 54 \checkmark \]

Trying values of x in 10x + 14 = 54

x10x + 14Equals 54?
234no
344no
454yes
564no
674no

Questions

What is x in 10x + 14 = 54?

The solution of 10x + 14 = 54 is x = 4.

How do you solve 10x + 14 = 54?

Subtract 14 from both sides to get 10x = 40, then divide both sides by 10 to get x = 4.

How do I check the answer?

Replace x by 4: 10(4) + 14 = 54, which is 54.

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    Solve 10x + 14 = 54: x = 4 (steps and check) | WordGPT