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Solve 4x + 12 = 80

The solution of 4x + 12 = 80 is x = 17.

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The lines y = 4x + 12 and y = 80 meet at x = 1712141618202260708090100x = 17y = 4x + 12y = 80
The lines y = 4x + 12 and y = 80 meet at x = 17. 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=804x + 12 = 80
  2. 2

    Subtract 12 from both sides:

    4x+12−12=80−12 ⇒ 4x=684x + 12 - 12 = 80 - 12 \ \Rightarrow\ 4x = 68
  3. 3

    Divide both sides by 4:

    4x4=684 ⇒ x=17\frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    4⋅17+12=68+12=80✓4\cdot17 + 12 = 68 + 12 = 80 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 12 = 80\ \Rightarrow\ x = 17 \]
\[ 4x + 12 = 80 \]
\[ 4x + 12 - 12 = 80 - 12 \ \Rightarrow\ 4x = 68 \]
\[ \frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17 \]
\[ 4\cdot17 + 12 = 68 + 12 = 80 \checkmark \]

Trying values of x in 4x + 12 = 80

x4x + 12Equals 80?
1572no
1676no
1780yes
1884no
1988no

Questions

What is x in 4x + 12 = 80?

The solution of 4x + 12 = 80 is x = 17.

How do you solve 4x + 12 = 80?

Subtract 12 from both sides to get 4x = 68, then divide both sides by 4 to get x = 17.

How do I check the answer?

Replace x by 17: 4(17) + 12 = 80, which is 80.

Similar equations

    Solve 4x + 12 = 80: x = 17 (steps and check) | WordGPT