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Solve 12x + 10 = 214

The solution of 12x + 10 = 214 is x = 17.

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The lines y = 12x + 10 and y = 214 meet at x = 17121416182022140160180200220240260280300x = 17y = 12x + 10y = 214
The lines y = 12x + 10 and y = 214 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.

    12x+10=21412x + 10 = 214
  2. 2

    Subtract 10 from both sides:

    12x+10−10=214−10 ⇒ 12x=20412x + 10 - 10 = 214 - 10 \ \Rightarrow\ 12x = 204
  3. 3

    Divide both sides by 12:

    12x12=20412 ⇒ x=17\frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    12⋅17+10=204+10=214✓12\cdot17 + 10 = 204 + 10 = 214 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 10 = 214\ \Rightarrow\ x = 17 \]
\[ 12x + 10 = 214 \]
\[ 12x + 10 - 10 = 214 - 10 \ \Rightarrow\ 12x = 204 \]
\[ \frac{12x}{12} = \frac{204}{12} \ \Rightarrow\ x = 17 \]
\[ 12\cdot17 + 10 = 204 + 10 = 214 \checkmark \]

Trying values of x in 12x + 10 = 214

x12x + 10Equals 214?
15190no
16202no
17214yes
18226no
19238no

Questions

What is x in 12x + 10 = 214?

The solution of 12x + 10 = 214 is x = 17.

How do you solve 12x + 10 = 214?

Subtract 10 from both sides to get 12x = 204, then divide both sides by 12 to get x = 17.

How do I check the answer?

Replace x by 17: 12(17) + 10 = 214, which is 214.

Similar equations

    Solve 12x + 10 = 214: x = 17 (steps and check) | WordGPT