WordGPT

Solve 5x + 12 = 32

The solution of 5x + 12 = 32 is x = 4.

The lines y = 5x + 12 and y = 32 meet at x = 4-2246810102030405060x = 4y = 5x + 12y = 32
The lines y = 5x + 12 and y = 32 meet at x = 4. 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=325x + 12 = 32
  2. 2

    Subtract 12 from both sides:

    5x+12−12=32−12 ⇒ 5x=205x + 12 - 12 = 32 - 12 \ \Rightarrow\ 5x = 20
  3. 3

    Divide both sides by 5:

    5x5=205 ⇒ x=4\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    5⋅4+12=20+12=32✓5\cdot4 + 12 = 20 + 12 = 32 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 12 = 32\ \Rightarrow\ x = 4 \]
\[ 5x + 12 = 32 \]
\[ 5x + 12 - 12 = 32 - 12 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 + 12 = 20 + 12 = 32 \checkmark \]

Trying values of x in 5x + 12 = 32

x5x + 12Equals 32?
222no
327no
432yes
537no
642no

Questions

What is x in 5x + 12 = 32?

The solution of 5x + 12 = 32 is x = 4.

How do you solve 5x + 12 = 32?

Subtract 12 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) + 12 = 32, which is 32.

Similar equations

    Solve 5x + 12 = 32: x = 4 (steps and check) | WordGPT