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Solve 12x + 14 = 170

The solution of 12x + 14 = 170 is x = 13.

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The lines y = 12x + 14 and y = 170 meet at x = 1381012141618100120140160180200220240x = 13y = 12x + 14y = 170
The lines y = 12x + 14 and y = 170 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.

    12x+14=17012x + 14 = 170
  2. 2

    Subtract 14 from both sides:

    12x+14−14=170−14 ⇒ 12x=15612x + 14 - 14 = 170 - 14 \ \Rightarrow\ 12x = 156
  3. 3

    Divide both sides by 12:

    12x12=15612 ⇒ x=13\frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    12⋅13+14=156+14=170✓12\cdot13 + 14 = 156 + 14 = 170 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 170\ \Rightarrow\ x = 13 \]
\[ 12x + 14 = 170 \]
\[ 12x + 14 - 14 = 170 - 14 \ \Rightarrow\ 12x = 156 \]
\[ \frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13 \]
\[ 12\cdot13 + 14 = 156 + 14 = 170 \checkmark \]

Trying values of x in 12x + 14 = 170

x12x + 14Equals 170?
11146no
12158no
13170yes
14182no
15194no

Questions

What is x in 12x + 14 = 170?

The solution of 12x + 14 = 170 is x = 13.

How do you solve 12x + 14 = 170?

Subtract 14 from both sides to get 12x = 156, then divide both sides by 12 to get x = 13.

How do I check the answer?

Replace x by 13: 12(13) + 14 = 170, which is 170.

Similar equations

    Solve 12x + 14 = 170: x = 13 (steps and check) | WordGPT