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Solve 6x + 12 = 78

The solution of 6x + 12 = 78 is x = 11.

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The lines y = 6x + 12 and y = 78 meet at x = 116810121416405060708090100110120x = 11y = 6x + 12y = 78
The lines y = 6x + 12 and y = 78 meet at x = 11. 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=786x + 12 = 78
  2. 2

    Subtract 12 from both sides:

    6x+12−12=78−12 ⇒ 6x=666x + 12 - 12 = 78 - 12 \ \Rightarrow\ 6x = 66
  3. 3

    Divide both sides by 6:

    6x6=666 ⇒ x=11\frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    6⋅11+12=66+12=78✓6\cdot11 + 12 = 66 + 12 = 78 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 78\ \Rightarrow\ x = 11 \]
\[ 6x + 12 = 78 \]
\[ 6x + 12 - 12 = 78 - 12 \ \Rightarrow\ 6x = 66 \]
\[ \frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11 \]
\[ 6\cdot11 + 12 = 66 + 12 = 78 \checkmark \]

Trying values of x in 6x + 12 = 78

x6x + 12Equals 78?
966no
1072no
1178yes
1284no
1390no

Questions

What is x in 6x + 12 = 78?

The solution of 6x + 12 = 78 is x = 11.

How do you solve 6x + 12 = 78?

Subtract 12 from both sides to get 6x = 66, then divide both sides by 6 to get x = 11.

How do I check the answer?

Replace x by 11: 6(11) + 12 = 78, which is 78.

Similar equations

    Solve 6x + 12 = 78: x = 11 (steps and check) | WordGPT