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Solve 11x + 8 = 74

The solution of 11x + 8 = 74 is x = 6.

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The lines y = 11x + 8 and y = 74 meet at x = 62468101220406080100120140x = 6y = 11x + 8y = 74
The lines y = 11x + 8 and y = 74 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+8=7411x + 8 = 74
  2. 2

    Subtract 8 from both sides:

    11x+8−8=74−8 ⇒ 11x=6611x + 8 - 8 = 74 - 8 \ \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+8=66+8=74✓11\cdot6 + 8 = 66 + 8 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 8 = 74\ \Rightarrow\ x = 6 \]
\[ 11x + 8 = 74 \]
\[ 11x + 8 - 8 = 74 - 8 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 8 = 66 + 8 = 74 \checkmark \]

Trying values of x in 11x + 8 = 74

x11x + 8Equals 74?
452no
563no
674yes
785no
896no

Questions

What is x in 11x + 8 = 74?

The solution of 11x + 8 = 74 is x = 6.

How do you solve 11x + 8 = 74?

Subtract 8 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) + 8 = 74, which is 74.

Similar equations

    Solve 11x + 8 = 74: x = 6 (steps and check) | WordGPT