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Solve 12x + 14 = 146

The solution of 12x + 14 = 146 is x = 11.

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The lines y = 12x + 14 and y = 146 meet at x = 1168101214166080100120140160180200220x = 11y = 12x + 14y = 146
The lines y = 12x + 14 and y = 146 meet at x = 11. 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.

    12x+14=14612x + 14 = 146
  2. 2

    Subtract 14 from both sides:

    12x+14−14=146−14 ⇒ 12x=13212x + 14 - 14 = 146 - 14 \ \Rightarrow\ 12x = 132
  3. 3

    Divide both sides by 12:

    12x12=13212 ⇒ x=11\frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    12⋅11+14=132+14=146✓12\cdot11 + 14 = 132 + 14 = 146 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 146\ \Rightarrow\ x = 11 \]
\[ 12x + 14 = 146 \]
\[ 12x + 14 - 14 = 146 - 14 \ \Rightarrow\ 12x = 132 \]
\[ \frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11 \]
\[ 12\cdot11 + 14 = 132 + 14 = 146 \checkmark \]

Trying values of x in 12x + 14 = 146

x12x + 14Equals 146?
9122no
10134no
11146yes
12158no
13170no

Questions

What is x in 12x + 14 = 146?

The solution of 12x + 14 = 146 is x = 11.

How do you solve 12x + 14 = 146?

Subtract 14 from both sides to get 12x = 132, then divide both sides by 12 to get x = 11.

How do I check the answer?

Replace x by 11: 12(11) + 14 = 146, which is 146.

Similar equations

    Solve 12x + 14 = 146: x = 11 (steps and check) | WordGPT