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Solve 8x + 11 = 147

The solution of 8x + 11 = 147 is x = 17.

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The lines y = 8x + 11 and y = 147 meet at x = 17121416182022100120140160180200x = 17y = 8x + 11y = 147
The lines y = 8x + 11 and y = 147 meet at x = 17. 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=1478x + 11 = 147
  2. 2

    Subtract 11 from both sides:

    8x+11−11=147−11 ⇒ 8x=1368x + 11 - 11 = 147 - 11 \ \Rightarrow\ 8x = 136
  3. 3

    Divide both sides by 8:

    8x8=1368 ⇒ x=17\frac{8x}{8} = \frac{136}{8} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    8⋅17+11=136+11=147✓8\cdot17 + 11 = 136 + 11 = 147 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 11 = 147\ \Rightarrow\ x = 17 \]
\[ 8x + 11 = 147 \]
\[ 8x + 11 - 11 = 147 - 11 \ \Rightarrow\ 8x = 136 \]
\[ \frac{8x}{8} = \frac{136}{8} \ \Rightarrow\ x = 17 \]
\[ 8\cdot17 + 11 = 136 + 11 = 147 \checkmark \]

Trying values of x in 8x + 11 = 147

x8x + 11Equals 147?
15131no
16139no
17147yes
18155no
19163no

Questions

What is x in 8x + 11 = 147?

The solution of 8x + 11 = 147 is x = 17.

How do you solve 8x + 11 = 147?

Subtract 11 from both sides to get 8x = 136, then divide both sides by 8 to get x = 17.

How do I check the answer?

Replace x by 17: 8(17) + 11 = 147, which is 147.

Similar equations

    Solve 8x + 11 = 147: x = 17 (steps and check) | WordGPT