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Solve 11x + 9 = 152

The solution of 11x + 9 = 152 is x = 13.

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The lines y = 11x + 9 and y = 152 meet at x = 138101214161880100120140160180200220x = 13y = 11x + 9y = 152
The lines y = 11x + 9 and y = 152 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.

    11x+9=15211x + 9 = 152
  2. 2

    Subtract 9 from both sides:

    11x+9−9=152−9 ⇒ 11x=14311x + 9 - 9 = 152 - 9 \ \Rightarrow\ 11x = 143
  3. 3

    Divide both sides by 11:

    11x11=14311 ⇒ x=13\frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    11⋅13+9=143+9=152✓11\cdot13 + 9 = 143 + 9 = 152 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 9 = 152\ \Rightarrow\ x = 13 \]
\[ 11x + 9 = 152 \]
\[ 11x + 9 - 9 = 152 - 9 \ \Rightarrow\ 11x = 143 \]
\[ \frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13 \]
\[ 11\cdot13 + 9 = 143 + 9 = 152 \checkmark \]

Trying values of x in 11x + 9 = 152

x11x + 9Equals 152?
11130no
12141no
13152yes
14163no
15174no

Questions

What is x in 11x + 9 = 152?

The solution of 11x + 9 = 152 is x = 13.

How do you solve 11x + 9 = 152?

Subtract 9 from both sides to get 11x = 143, then divide both sides by 11 to get x = 13.

How do I check the answer?

Replace x by 13: 11(13) + 9 = 152, which is 152.

Similar equations

    Solve 11x + 9 = 152: x = 13 (steps and check) | WordGPT