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Solve 10x + 4 = 14

The solution of 10x + 4 = 14 is x = 1.

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The lines y = 10x + 4 and y = 14 meet at x = 1-4-2246-40-2020406080x = 1y = 10x + 4y = 14
The lines y = 10x + 4 and y = 14 meet at x = 1. 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+4=1410x + 4 = 14
  2. 2

    Subtract 4 from both sides:

    10x+4−4=14−4 ⇒ 10x=1010x + 4 - 4 = 14 - 4 \ \Rightarrow\ 10x = 10
  3. 3

    Divide both sides by 10:

    10x10=1010 ⇒ x=1\frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    10⋅1+4=10+4=14✓10\cdot1 + 4 = 10 + 4 = 14 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 4 = 14\ \Rightarrow\ x = 1 \]
\[ 10x + 4 = 14 \]
\[ 10x + 4 - 4 = 14 - 4 \ \Rightarrow\ 10x = 10 \]
\[ \frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1 \]
\[ 10\cdot1 + 4 = 10 + 4 = 14 \checkmark \]

Trying values of x in 10x + 4 = 14

x10x + 4Equals 14?
-1-6no
04no
114yes
224no
334no

Questions

What is x in 10x + 4 = 14?

The solution of 10x + 4 = 14 is x = 1.

How do you solve 10x + 4 = 14?

Subtract 4 from both sides to get 10x = 10, then divide both sides by 10 to get x = 1.

How do I check the answer?

Replace x by 1: 10(1) + 4 = 14, which is 14.

Similar equations

    Solve 10x + 4 = 14: x = 1 (steps and check) | WordGPT