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Solve 12x + 7 = 103

The solution of 12x + 7 = 103 is x = 8.

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The lines y = 12x + 7 and y = 103 meet at x = 8246810121420406080100120140160180x = 8y = 12x + 7y = 103
The lines y = 12x + 7 and y = 103 meet at x = 8. 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+7=10312x + 7 = 103
  2. 2

    Subtract 7 from both sides:

    12x+7−7=103−7 ⇒ 12x=9612x + 7 - 7 = 103 - 7 \ \Rightarrow\ 12x = 96
  3. 3

    Divide both sides by 12:

    12x12=9612 ⇒ x=8\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    12⋅8+7=96+7=103✓12\cdot8 + 7 = 96 + 7 = 103 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 103\ \Rightarrow\ x = 8 \]
\[ 12x + 7 = 103 \]
\[ 12x + 7 - 7 = 103 - 7 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 + 7 = 96 + 7 = 103 \checkmark \]

Trying values of x in 12x + 7 = 103

x12x + 7Equals 103?
679no
791no
8103yes
9115no
10127no

Questions

What is x in 12x + 7 = 103?

The solution of 12x + 7 = 103 is x = 8.

How do you solve 12x + 7 = 103?

Subtract 7 from both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) + 7 = 103, which is 103.

Similar equations

    Solve 12x + 7 = 103: x = 8 (steps and check) | WordGPT