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Solve 4x + 12 = 20

The solution of 4x + 12 = 20 is x = 2.

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The lines y = 4x + 12 and y = 20 meet at x = 2-4-2246810203040x = 2y = 4x + 12y = 20
The lines y = 4x + 12 and y = 20 meet at x = 2. 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.

    4x+12=204x + 12 = 20
  2. 2

    Subtract 12 from both sides:

    4x+12−12=20−12 ⇒ 4x=84x + 12 - 12 = 20 - 12 \ \Rightarrow\ 4x = 8
  3. 3

    Divide both sides by 4:

    4x4=84 ⇒ x=2\frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    4⋅2+12=8+12=20✓4\cdot2 + 12 = 8 + 12 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 12 = 20\ \Rightarrow\ x = 2 \]
\[ 4x + 12 = 20 \]
\[ 4x + 12 - 12 = 20 - 12 \ \Rightarrow\ 4x = 8 \]
\[ \frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2 \]
\[ 4\cdot2 + 12 = 8 + 12 = 20 \checkmark \]

Trying values of x in 4x + 12 = 20

x4x + 12Equals 20?
012no
116no
220yes
324no
428no

Questions

What is x in 4x + 12 = 20?

The solution of 4x + 12 = 20 is x = 2.

How do you solve 4x + 12 = 20?

Subtract 12 from both sides to get 4x = 8, then divide both sides by 4 to get x = 2.

How do I check the answer?

Replace x by 2: 4(2) + 12 = 20, which is 20.

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