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Solve 3x + 12 = 72

The solution of 3x + 12 = 72 is x = 20.

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The lines y = 3x + 12 and y = 72 meet at x = 20141618202224265560657075808590x = 20y = 3x + 12y = 72
The lines y = 3x + 12 and y = 72 meet at x = 20. 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=723x + 12 = 72
  2. 2

    Subtract 12 from both sides:

    3x+12−12=72−12 ⇒ 3x=603x + 12 - 12 = 72 - 12 \ \Rightarrow\ 3x = 60
  3. 3

    Divide both sides by 3:

    3x3=603 ⇒ x=20\frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    3⋅20+12=60+12=72✓3\cdot20 + 12 = 60 + 12 = 72 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 72\ \Rightarrow\ x = 20 \]
\[ 3x + 12 = 72 \]
\[ 3x + 12 - 12 = 72 - 12 \ \Rightarrow\ 3x = 60 \]
\[ \frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20 \]
\[ 3\cdot20 + 12 = 60 + 12 = 72 \checkmark \]

Trying values of x in 3x + 12 = 72

x3x + 12Equals 72?
1866no
1969no
2072yes
2175no
2278no

Questions

What is x in 3x + 12 = 72?

The solution of 3x + 12 = 72 is x = 20.

How do you solve 3x + 12 = 72?

Subtract 12 from both sides to get 3x = 60, then divide both sides by 3 to get x = 20.

How do I check the answer?

Replace x by 20: 3(20) + 12 = 72, which is 72.

Similar equations

    Solve 3x + 12 = 72: x = 20 (steps and check) | WordGPT