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Solve 12x + 10 = 154

The solution of 12x + 10 = 154 is x = 12.

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The lines y = 12x + 10 and y = 154 meet at x = 1268101214161880100120140160180200220240x = 12y = 12x + 10y = 154
The lines y = 12x + 10 and y = 154 meet at x = 12. 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=15412x + 10 = 154
  2. 2

    Subtract 10 from both sides:

    12x+10−10=154−10 ⇒ 12x=14412x + 10 - 10 = 154 - 10 \ \Rightarrow\ 12x = 144
  3. 3

    Divide both sides by 12:

    12x12=14412 ⇒ x=12\frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    12⋅12+10=144+10=154✓12\cdot12 + 10 = 144 + 10 = 154 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 10 = 154\ \Rightarrow\ x = 12 \]
\[ 12x + 10 = 154 \]
\[ 12x + 10 - 10 = 154 - 10 \ \Rightarrow\ 12x = 144 \]
\[ \frac{12x}{12} = \frac{144}{12} \ \Rightarrow\ x = 12 \]
\[ 12\cdot12 + 10 = 144 + 10 = 154 \checkmark \]

Trying values of x in 12x + 10 = 154

x12x + 10Equals 154?
10130no
11142no
12154yes
13166no
14178no

Questions

What is x in 12x + 10 = 154?

The solution of 12x + 10 = 154 is x = 12.

How do you solve 12x + 10 = 154?

Subtract 10 from both sides to get 12x = 144, then divide both sides by 12 to get x = 12.

How do I check the answer?

Replace x by 12: 12(12) + 10 = 154, which is 154.

Similar equations

    Solve 12x + 10 = 154: x = 12 (steps and check) | WordGPT