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Solve 11x + 6 = 160

The solution of 11x + 6 = 160 is x = 14.

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The lines y = 11x + 6 and y = 160 meet at x = 148101214161820100120140160180200220x = 14y = 11x + 6y = 160
The lines y = 11x + 6 and y = 160 meet at x = 14. 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+6=16011x + 6 = 160
  2. 2

    Subtract 6 from both sides:

    11x+6−6=160−6 ⇒ 11x=15411x + 6 - 6 = 160 - 6 \ \Rightarrow\ 11x = 154
  3. 3

    Divide both sides by 11:

    11x11=15411 ⇒ x=14\frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    11⋅14+6=154+6=160✓11\cdot14 + 6 = 154 + 6 = 160 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 6 = 160\ \Rightarrow\ x = 14 \]
\[ 11x + 6 = 160 \]
\[ 11x + 6 - 6 = 160 - 6 \ \Rightarrow\ 11x = 154 \]
\[ \frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14 \]
\[ 11\cdot14 + 6 = 154 + 6 = 160 \checkmark \]

Trying values of x in 11x + 6 = 160

x11x + 6Equals 160?
12138no
13149no
14160yes
15171no
16182no

Questions

What is x in 11x + 6 = 160?

The solution of 11x + 6 = 160 is x = 14.

How do you solve 11x + 6 = 160?

Subtract 6 from both sides to get 11x = 154, then divide both sides by 11 to get x = 14.

How do I check the answer?

Replace x by 14: 11(14) + 6 = 160, which is 160.

Similar equations

    Solve 11x + 6 = 160: x = 14 (steps and check) | WordGPT