WordGPT

Solve 11x + 7 = 128

The solution of 11x + 7 = 128 is x = 11.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 7 and y = 128 meet at x = 1168101214166080100120140160180200x = 11y = 11x + 7y = 128
The lines y = 11x + 7 and y = 128 meet at x = 11. 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+7=12811x + 7 = 128
  2. 2

    Subtract 7 from both sides:

    11x+7−7=128−7 ⇒ 11x=12111x + 7 - 7 = 128 - 7 \ \Rightarrow\ 11x = 121
  3. 3

    Divide both sides by 11:

    11x11=12111 ⇒ x=11\frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    11⋅11+7=121+7=128✓11\cdot11 + 7 = 121 + 7 = 128 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 128\ \Rightarrow\ x = 11 \]
\[ 11x + 7 = 128 \]
\[ 11x + 7 - 7 = 128 - 7 \ \Rightarrow\ 11x = 121 \]
\[ \frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11 \]
\[ 11\cdot11 + 7 = 121 + 7 = 128 \checkmark \]

Trying values of x in 11x + 7 = 128

x11x + 7Equals 128?
9106no
10117no
11128yes
12139no
13150no

Questions

What is x in 11x + 7 = 128?

The solution of 11x + 7 = 128 is x = 11.

How do you solve 11x + 7 = 128?

Subtract 7 from both sides to get 11x = 121, then divide both sides by 11 to get x = 11.

How do I check the answer?

Replace x by 11: 11(11) + 7 = 128, which is 128.

Similar equations

    Solve 11x + 7 = 128: x = 11 (steps and check) | WordGPT