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Solve 11x + 10 = 153

The solution of 11x + 10 = 153 is x = 13.

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The lines y = 11x + 10 and y = 153 meet at x = 138101214161880100120140160180200220x = 13y = 11x + 10y = 153
The lines y = 11x + 10 and y = 153 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+10=15311x + 10 = 153
  2. 2

    Subtract 10 from both sides:

    11x+10−10=153−10 ⇒ 11x=14311x + 10 - 10 = 153 - 10 \ \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+10=143+10=153✓11\cdot13 + 10 = 143 + 10 = 153 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 10 = 153\ \Rightarrow\ x = 13 \]
\[ 11x + 10 = 153 \]
\[ 11x + 10 - 10 = 153 - 10 \ \Rightarrow\ 11x = 143 \]
\[ \frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13 \]
\[ 11\cdot13 + 10 = 143 + 10 = 153 \checkmark \]

Trying values of x in 11x + 10 = 153

x11x + 10Equals 153?
11131no
12142no
13153yes
14164no
15175no

Questions

What is x in 11x + 10 = 153?

The solution of 11x + 10 = 153 is x = 13.

How do you solve 11x + 10 = 153?

Subtract 10 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) + 10 = 153, which is 153.

Similar equations

    Solve 11x + 10 = 153: x = 13 (steps and check) | WordGPT