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Solve 8x + 11 = 163

The solution of 8x + 11 = 163 is x = 19.

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The lines y = 8x + 11 and y = 163 meet at x = 19141618202224120140160180200220x = 19y = 8x + 11y = 163
The lines y = 8x + 11 and y = 163 meet at x = 19. 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.

    8x+11=1638x + 11 = 163
  2. 2

    Subtract 11 from both sides:

    8x+11−11=163−11 ⇒ 8x=1528x + 11 - 11 = 163 - 11 \ \Rightarrow\ 8x = 152
  3. 3

    Divide both sides by 8:

    8x8=1528 ⇒ x=19\frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    8⋅19+11=152+11=163✓8\cdot19 + 11 = 152 + 11 = 163 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 11 = 163\ \Rightarrow\ x = 19 \]
\[ 8x + 11 = 163 \]
\[ 8x + 11 - 11 = 163 - 11 \ \Rightarrow\ 8x = 152 \]
\[ \frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19 \]
\[ 8\cdot19 + 11 = 152 + 11 = 163 \checkmark \]

Trying values of x in 8x + 11 = 163

x8x + 11Equals 163?
17147no
18155no
19163yes
20171no
21179no

Questions

What is x in 8x + 11 = 163?

The solution of 8x + 11 = 163 is x = 19.

How do you solve 8x + 11 = 163?

Subtract 11 from both sides to get 8x = 152, then divide both sides by 8 to get x = 19.

How do I check the answer?

Replace x by 19: 8(19) + 11 = 163, which is 163.

Similar equations

    Solve 8x + 11 = 163: x = 19 (steps and check) | WordGPT