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Solve 10x + 12 = 182

The solution of 10x + 12 = 182 is x = 17.

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The lines y = 10x + 12 and y = 182 meet at x = 17121416182022120140160180200220240x = 17y = 10x + 12y = 182
The lines y = 10x + 12 and y = 182 meet at x = 17. 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.

    10x+12=18210x + 12 = 182
  2. 2

    Subtract 12 from both sides:

    10x+12−12=182−12 ⇒ 10x=17010x + 12 - 12 = 182 - 12 \ \Rightarrow\ 10x = 170
  3. 3

    Divide both sides by 10:

    10x10=17010 ⇒ x=17\frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    10⋅17+12=170+12=182✓10\cdot17 + 12 = 170 + 12 = 182 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 12 = 182\ \Rightarrow\ x = 17 \]
\[ 10x + 12 = 182 \]
\[ 10x + 12 - 12 = 182 - 12 \ \Rightarrow\ 10x = 170 \]
\[ \frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17 \]
\[ 10\cdot17 + 12 = 170 + 12 = 182 \checkmark \]

Trying values of x in 10x + 12 = 182

x10x + 12Equals 182?
15162no
16172no
17182yes
18192no
19202no

Questions

What is x in 10x + 12 = 182?

The solution of 10x + 12 = 182 is x = 17.

How do you solve 10x + 12 = 182?

Subtract 12 from both sides to get 10x = 170, then divide both sides by 10 to get x = 17.

How do I check the answer?

Replace x by 17: 10(17) + 12 = 182, which is 182.

Similar equations

    Solve 10x + 12 = 182: x = 17 (steps and check) | WordGPT