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Solve 12x + 10 = 178

The solution of 12x + 10 = 178 is x = 14.

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The lines y = 12x + 10 and y = 178 meet at x = 148101214161820100120140160180200220240260x = 14y = 12x + 10y = 178
The lines y = 12x + 10 and y = 178 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+10=17812x + 10 = 178
  2. 2

    Subtract 10 from both sides:

    12x+10−10=178−10 ⇒ 12x=16812x + 10 - 10 = 178 - 10 \ \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+10=168+10=178✓12\cdot14 + 10 = 168 + 10 = 178 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 10 = 178\ \Rightarrow\ x = 14 \]
\[ 12x + 10 = 178 \]
\[ 12x + 10 - 10 = 178 - 10 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 + 10 = 168 + 10 = 178 \checkmark \]

Trying values of x in 12x + 10 = 178

x12x + 10Equals 178?
12154no
13166no
14178yes
15190no
16202no

Questions

What is x in 12x + 10 = 178?

The solution of 12x + 10 = 178 is x = 14.

How do you solve 12x + 10 = 178?

Subtract 10 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) + 10 = 178, which is 178.

Similar equations

    Solve 12x + 10 = 178: x = 14 (steps and check) | WordGPT