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Solve 5x + 11 = 96

The solution of 5x + 11 = 96 is x = 17.

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The lines y = 5x + 11 and y = 96 meet at x = 1712141618202260708090100110120130x = 17y = 5x + 11y = 96
The lines y = 5x + 11 and y = 96 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.

    5x+11=965x + 11 = 96
  2. 2

    Subtract 11 from both sides:

    5x+11−11=96−11 ⇒ 5x=855x + 11 - 11 = 96 - 11 \ \Rightarrow\ 5x = 85
  3. 3

    Divide both sides by 5:

    5x5=855 ⇒ x=17\frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    5⋅17+11=85+11=96✓5\cdot17 + 11 = 85 + 11 = 96 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 96\ \Rightarrow\ x = 17 \]
\[ 5x + 11 = 96 \]
\[ 5x + 11 - 11 = 96 - 11 \ \Rightarrow\ 5x = 85 \]
\[ \frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17 \]
\[ 5\cdot17 + 11 = 85 + 11 = 96 \checkmark \]

Trying values of x in 5x + 11 = 96

x5x + 11Equals 96?
1586no
1691no
1796yes
18101no
19106no

Questions

What is x in 5x + 11 = 96?

The solution of 5x + 11 = 96 is x = 17.

How do you solve 5x + 11 = 96?

Subtract 11 from both sides to get 5x = 85, then divide both sides by 5 to get x = 17.

How do I check the answer?

Replace x by 17: 5(17) + 11 = 96, which is 96.

Similar equations

    Solve 5x + 11 = 96: x = 17 (steps and check) | WordGPT