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Solve 12x + 14 = 158

The solution of 12x + 14 = 158 is x = 12.

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The lines y = 12x + 14 and y = 158 meet at x = 1268101214161880100120140160180200220240x = 12y = 12x + 14y = 158
The lines y = 12x + 14 and y = 158 meet at x = 12. 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=15812x + 14 = 158
  2. 2

    Subtract 14 from both sides:

    12x+14−14=158−14 ⇒ 12x=14412x + 14 - 14 = 158 - 14 \ \Rightarrow\ 12x = 144
  3. 3

    Divide both sides by 12:

    12x12=14412 ⇒ x=12\frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    12⋅12+14=144+14=158✓12\cdot12 + 14 = 144 + 14 = 158 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 158\ \Rightarrow\ x = 12 \]
\[ 12x + 14 = 158 \]
\[ 12x + 14 - 14 = 158 - 14 \ \Rightarrow\ 12x = 144 \]
\[ \frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12 \]
\[ 12\cdot12 + 14 = 144 + 14 = 158 \checkmark \]

Trying values of x in 12x + 14 = 158

x12x + 14Equals 158?
10134no
11146no
12158yes
13170no
14182no

Questions

What is x in 12x + 14 = 158?

The solution of 12x + 14 = 158 is x = 12.

How do you solve 12x + 14 = 158?

Subtract 14 from both sides to get 12x = 144, then divide both sides by 12 to get x = 12.

How do I check the answer?

Replace x by 12: 12(12) + 14 = 158, which is 158.

Similar equations

    Solve 12x + 14 = 158: x = 12 (steps and check) | WordGPT