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Solve 12x + 3 = 123

The solution of 12x + 3 = 123 is x = 10.

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The lines y = 12x + 3 and y = 123 meet at x = 1046810121416406080100120140160180200x = 10y = 12x + 3y = 123
The lines y = 12x + 3 and y = 123 meet at x = 10. 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+3=12312x + 3 = 123
  2. 2

    Subtract 3 from both sides:

    12x+3−3=123−3 ⇒ 12x=12012x + 3 - 3 = 123 - 3 \ \Rightarrow\ 12x = 120
  3. 3

    Divide both sides by 12:

    12x12=12012 ⇒ x=10\frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    12⋅10+3=120+3=123✓12\cdot10 + 3 = 120 + 3 = 123 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 3 = 123\ \Rightarrow\ x = 10 \]
\[ 12x + 3 = 123 \]
\[ 12x + 3 - 3 = 123 - 3 \ \Rightarrow\ 12x = 120 \]
\[ \frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10 \]
\[ 12\cdot10 + 3 = 120 + 3 = 123 \checkmark \]

Trying values of x in 12x + 3 = 123

x12x + 3Equals 123?
899no
9111no
10123yes
11135no
12147no

Questions

What is x in 12x + 3 = 123?

The solution of 12x + 3 = 123 is x = 10.

How do you solve 12x + 3 = 123?

Subtract 3 from both sides to get 12x = 120, then divide both sides by 12 to get x = 10.

How do I check the answer?

Replace x by 10: 12(10) + 3 = 123, which is 123.

Similar equations

    Solve 12x + 3 = 123: x = 10 (steps and check) | WordGPT