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Solve 3x + 12 = 60

The solution of 3x + 12 = 60 is x = 16.

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The lines y = 3x + 12 and y = 60 meet at x = 1610121416182022404550556065707580x = 16y = 3x + 12y = 60
The lines y = 3x + 12 and y = 60 meet at x = 16. 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=603x + 12 = 60
  2. 2

    Subtract 12 from both sides:

    3x+12−12=60−12 ⇒ 3x=483x + 12 - 12 = 60 - 12 \ \Rightarrow\ 3x = 48
  3. 3

    Divide both sides by 3:

    3x3=483 ⇒ x=16\frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    3⋅16+12=48+12=60✓3\cdot16 + 12 = 48 + 12 = 60 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 60\ \Rightarrow\ x = 16 \]
\[ 3x + 12 = 60 \]
\[ 3x + 12 - 12 = 60 - 12 \ \Rightarrow\ 3x = 48 \]
\[ \frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16 \]
\[ 3\cdot16 + 12 = 48 + 12 = 60 \checkmark \]

Trying values of x in 3x + 12 = 60

x3x + 12Equals 60?
1454no
1557no
1660yes
1763no
1866no

Questions

What is x in 3x + 12 = 60?

The solution of 3x + 12 = 60 is x = 16.

How do you solve 3x + 12 = 60?

Subtract 12 from both sides to get 3x = 48, then divide both sides by 3 to get x = 16.

How do I check the answer?

Replace x by 16: 3(16) + 12 = 60, which is 60.

Similar equations

    Solve 3x + 12 = 60: x = 16 (steps and check) | WordGPT