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Solve 12x + 3 = 75

The solution of 12x + 3 = 75 is x = 6.

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The lines y = 12x + 3 and y = 75 meet at x = 62468101220406080100120140160x = 6y = 12x + 3y = 75
The lines y = 12x + 3 and y = 75 meet at x = 6. 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=7512x + 3 = 75
  2. 2

    Subtract 3 from both sides:

    12x+3−3=75−3 ⇒ 12x=7212x + 3 - 3 = 75 - 3 \ \Rightarrow\ 12x = 72
  3. 3

    Divide both sides by 12:

    12x12=7212 ⇒ x=6\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    12⋅6+3=72+3=75✓12\cdot6 + 3 = 72 + 3 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 3 = 75\ \Rightarrow\ x = 6 \]
\[ 12x + 3 = 75 \]
\[ 12x + 3 - 3 = 75 - 3 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 + 3 = 72 + 3 = 75 \checkmark \]

Trying values of x in 12x + 3 = 75

x12x + 3Equals 75?
451no
563no
675yes
787no
899no

Questions

What is x in 12x + 3 = 75?

The solution of 12x + 3 = 75 is x = 6.

How do you solve 12x + 3 = 75?

Subtract 3 from both sides to get 12x = 72, then divide both sides by 12 to get x = 6.

How do I check the answer?

Replace x by 6: 12(6) + 3 = 75, which is 75.

Similar equations

    Solve 12x + 3 = 75: x = 6 (steps and check) | WordGPT