WordGPT

Solve 6x + 12 = 90

The solution of 6x + 12 = 90 is x = 13.

The lines y = 6x + 12 and y = 90 meet at x = 13810121416185060708090100110120130x = 13y = 6x + 12y = 90
The lines y = 6x + 12 and y = 90 meet at x = 13. 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.

    6x+12=906x + 12 = 90
  2. 2

    Subtract 12 from both sides:

    6x+12−12=90−12 ⇒ 6x=786x + 12 - 12 = 90 - 12 \ \Rightarrow\ 6x = 78
  3. 3

    Divide both sides by 6:

    6x6=786 ⇒ x=13\frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    6⋅13+12=78+12=90✓6\cdot13 + 12 = 78 + 12 = 90 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 90\ \Rightarrow\ x = 13 \]
\[ 6x + 12 = 90 \]
\[ 6x + 12 - 12 = 90 - 12 \ \Rightarrow\ 6x = 78 \]
\[ \frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13 \]
\[ 6\cdot13 + 12 = 78 + 12 = 90 \checkmark \]

Trying values of x in 6x + 12 = 90

x6x + 12Equals 90?
1178no
1284no
1390yes
1496no
15102no

Questions

What is x in 6x + 12 = 90?

The solution of 6x + 12 = 90 is x = 13.

How do you solve 6x + 12 = 90?

Subtract 12 from both sides to get 6x = 78, then divide both sides by 6 to get x = 13.

How do I check the answer?

Replace x by 13: 6(13) + 12 = 90, which is 90.

Similar equations

    Solve 6x + 12 = 90: x = 13 (steps and check) | WordGPT