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Solve 4x + 12 = 24

The solution of 4x + 12 = 24 is x = 3.

The lines y = 4x + 12 and y = 24 meet at x = 3-224681020304050x = 3y = 4x + 12y = 24
The lines y = 4x + 12 and y = 24 meet at x = 3. 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=244x + 12 = 24
  2. 2

    Subtract 12 from both sides:

    4x+12−12=24−12 ⇒ 4x=124x + 12 - 12 = 24 - 12 \ \Rightarrow\ 4x = 12
  3. 3

    Divide both sides by 4:

    4x4=124 ⇒ x=3\frac{4x}{4} = \frac{12}{4} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    4⋅3+12=12+12=24✓4\cdot3 + 12 = 12 + 12 = 24 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 12 = 24\ \Rightarrow\ x = 3 \]
\[ 4x + 12 = 24 \]
\[ 4x + 12 - 12 = 24 - 12 \ \Rightarrow\ 4x = 12 \]
\[ \frac{4x}{4} = \frac{12}{4} \ \Rightarrow\ x = 3 \]
\[ 4\cdot3 + 12 = 12 + 12 = 24 \checkmark \]

Trying values of x in 4x + 12 = 24

x4x + 12Equals 24?
116no
220no
324yes
428no
532no

Questions

What is x in 4x + 12 = 24?

The solution of 4x + 12 = 24 is x = 3.

How do you solve 4x + 12 = 24?

Subtract 12 from both sides to get 4x = 12, then divide both sides by 4 to get x = 3.

How do I check the answer?

Replace x by 3: 4(3) + 12 = 24, which is 24.

Similar equations

    Solve 4x + 12 = 24: x = 3 (steps and check) | WordGPT