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Solve 12x + 4 = 172

The solution of 12x + 4 = 172 is x = 14.

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The lines y = 12x + 4 and y = 172 meet at x = 148101214161820100120140160180200220240x = 14y = 12x + 4y = 172
The lines y = 12x + 4 and y = 172 meet at x = 14. 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+4=17212x + 4 = 172
  2. 2

    Subtract 4 from both sides:

    12x+4−4=172−4 ⇒ 12x=16812x + 4 - 4 = 172 - 4 \ \Rightarrow\ 12x = 168
  3. 3

    Divide both sides by 12:

    12x12=16812 ⇒ x=14\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    12⋅14+4=168+4=172✓12\cdot14 + 4 = 168 + 4 = 172 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 4 = 172\ \Rightarrow\ x = 14 \]
\[ 12x + 4 = 172 \]
\[ 12x + 4 - 4 = 172 - 4 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 + 4 = 168 + 4 = 172 \checkmark \]

Trying values of x in 12x + 4 = 172

x12x + 4Equals 172?
12148no
13160no
14172yes
15184no
16196no

Questions

What is x in 12x + 4 = 172?

The solution of 12x + 4 = 172 is x = 14.

How do you solve 12x + 4 = 172?

Subtract 4 from both sides to get 12x = 168, then divide both sides by 12 to get x = 14.

How do I check the answer?

Replace x by 14: 12(14) + 4 = 172, which is 172.

Similar equations

    Solve 12x + 4 = 172: x = 14 (steps and check) | WordGPT