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Solve 3x + 12 = 48

The solution of 3x + 12 = 48 is x = 12.

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The lines y = 3x + 12 and y = 48 meet at x = 126810121416183035404550556065x = 12y = 3x + 12y = 48
The lines y = 3x + 12 and y = 48 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.

    3x+12=483x + 12 = 48
  2. 2

    Subtract 12 from both sides:

    3x+12−12=48−12 ⇒ 3x=363x + 12 - 12 = 48 - 12 \ \Rightarrow\ 3x = 36
  3. 3

    Divide both sides by 3:

    3x3=363 ⇒ x=12\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    3⋅12+12=36+12=48✓3\cdot12 + 12 = 36 + 12 = 48 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 48\ \Rightarrow\ x = 12 \]
\[ 3x + 12 = 48 \]
\[ 3x + 12 - 12 = 48 - 12 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 + 12 = 36 + 12 = 48 \checkmark \]

Trying values of x in 3x + 12 = 48

x3x + 12Equals 48?
1042no
1145no
1248yes
1351no
1454no

Questions

What is x in 3x + 12 = 48?

The solution of 3x + 12 = 48 is x = 12.

How do you solve 3x + 12 = 48?

Subtract 12 from both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) + 12 = 48, which is 48.

Similar equations

    Solve 3x + 12 = 48: x = 12 (steps and check) | WordGPT