Question

|10-4x|-2=9
Please help

Answer 1

I'm assuming you're asking for x.

Answer: -1/4 and 21/4

Step 1: Add 2 to both sides of the equation.

∣10−4x∣=9+2

Step 2: You can get two equations from this.

10−4x=11 and -(10-4x)=11−(10−4x)=11

Solve both equations.

1st equation:

−4x=11−10

−4x=1

x=-1/4

2nd equation:

−10+4x=11

4x−10=11

4x=11+10

4x=21

x=21/4

Answer 2

`x=-(1)/(4) , (21)/(4)`

Explanation:

Isolate the absolute value signs by adding 2 to both sides of the equation.

• 
  `|10-4x|=11`

Create a positive and negative case to solve for absolute value problems.

• 
  `10-4x=11 \\ 10-4x=-11`

Subtract 10 from both sides of both equations.

• 
  `-4x=1 \\ -4x=-21`

Divide both sides of each equation by -4 in order to isolate and solve for x.

• 
  `x=(1)/(-4) \\ x= (-21)/(-4)`

Simplify these x-values by canceling out the negative sign (2 negatives = 1 positive).

• 
  `x= -(1)/(4) \\ x = (21)/(4)`

x = -1/4 and 21/4 are the solutions to this equation.