WordGPT

Solve 5x + 12 = 27

The solution of 5x + 12 = 27 is x = 3.

The lines y = 5x + 12 and y = 27 meet at x = 3-22468102030405060x = 3y = 5x + 12y = 27
The lines y = 5x + 12 and y = 27 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.

    5x+12=275x + 12 = 27
  2. 2

    Subtract 12 from both sides:

    5x+12−12=27−12 ⇒ 5x=155x + 12 - 12 = 27 - 12 \ \Rightarrow\ 5x = 15
  3. 3

    Divide both sides by 5:

    5x5=155 ⇒ x=3\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    5⋅3+12=15+12=27✓5\cdot3 + 12 = 15 + 12 = 27 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 12 = 27\ \Rightarrow\ x = 3 \]
\[ 5x + 12 = 27 \]
\[ 5x + 12 - 12 = 27 - 12 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 + 12 = 15 + 12 = 27 \checkmark \]

Trying values of x in 5x + 12 = 27

x5x + 12Equals 27?
117no
222no
327yes
432no
537no

Questions

What is x in 5x + 12 = 27?

The solution of 5x + 12 = 27 is x = 3.

How do you solve 5x + 12 = 27?

Subtract 12 from both sides to get 5x = 15, then divide both sides by 5 to get x = 3.

How do I check the answer?

Replace x by 3: 5(3) + 12 = 27, which is 27.

Similar equations

    Solve 5x + 12 = 27: x = 3 (steps and check) | WordGPT