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Solve 11x + 8 = 52

The solution of 11x + 8 = 52 is x = 4.

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The lines y = 11x + 8 and y = 52 meet at x = 4-2246810-2020406080100120x = 4y = 11x + 8y = 52
The lines y = 11x + 8 and y = 52 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.

    11x+8=5211x + 8 = 52
  2. 2

    Subtract 8 from both sides:

    11x+8−8=52−8 ⇒ 11x=4411x + 8 - 8 = 52 - 8 \ \Rightarrow\ 11x = 44
  3. 3

    Divide both sides by 11:

    11x11=4411 ⇒ x=4\frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    11⋅4+8=44+8=52✓11\cdot4 + 8 = 44 + 8 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 8 = 52\ \Rightarrow\ x = 4 \]
\[ 11x + 8 = 52 \]
\[ 11x + 8 - 8 = 52 - 8 \ \Rightarrow\ 11x = 44 \]
\[ \frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4 \]
\[ 11\cdot4 + 8 = 44 + 8 = 52 \checkmark \]

Trying values of x in 11x + 8 = 52

x11x + 8Equals 52?
230no
341no
452yes
563no
674no

Questions

What is x in 11x + 8 = 52?

The solution of 11x + 8 = 52 is x = 4.

How do you solve 11x + 8 = 52?

Subtract 8 from both sides to get 11x = 44, then divide both sides by 11 to get x = 4.

How do I check the answer?

Replace x by 4: 11(4) + 8 = 52, which is 52.

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    Solve 11x + 8 = 52: x = 4 (steps and check) | WordGPT