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Solve 11x + 12 = 78

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

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The lines y = 11x + 12 and y = 78 meet at x = 62468101220406080100120140x = 6y = 11x + 12y = 78
The lines y = 11x + 12 and y = 78 meet at x = 6. 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.

    11x+12=7811x + 12 = 78
  2. 2

    Subtract 12 from both sides:

    11x+12−12=78−12 ⇒ 11x=6611x + 12 - 12 = 78 - 12 \ \Rightarrow\ 11x = 66
  3. 3

    Divide both sides by 11:

    11x11=6611 ⇒ x=6\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    11⋅6+12=66+12=78✓11\cdot6 + 12 = 66 + 12 = 78 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 12 = 78\ \Rightarrow\ x = 6 \]
\[ 11x + 12 = 78 \]
\[ 11x + 12 - 12 = 78 - 12 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 12 = 66 + 12 = 78 \checkmark \]

Trying values of x in 11x + 12 = 78

x11x + 12Equals 78?
456no
567no
678yes
789no
8100no

Questions

What is x in 11x + 12 = 78?

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

How do you solve 11x + 12 = 78?

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

How do I check the answer?

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

Similar equations

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