abs(2x+5)=abs(x-11)

Simple and best practice solution for abs(2x+5)=abs(x-11) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for abs(2x+5)=abs(x-11) equation: 


Simplifying
abs(2x + 5) = abs(x + -11)

Reorder the terms:
abs(5 + 2x) = abs(x + -11)
(5 * abs + 2x * abs) = abs(x + -11)
(5abs + 2absx) = abs(x + -11)

Reorder the terms:
5abs + 2absx = abs(-11 + x)
5abs + 2absx = (-11 * abs + x * abs)
5abs + 2absx = (-11abs + absx)

Solving
5abs + 2absx = -11abs + absx

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '11abs' to each side of the equation.
5abs + 11abs + 2absx = -11abs + 11abs + absx

Combine like terms: 5abs + 11abs = 16abs
16abs + 2absx = -11abs + 11abs + absx

Combine like terms: -11abs + 11abs = 0
16abs + 2absx = 0 + absx
16abs + 2absx = absx

Add '-1absx' to each side of the equation.
16abs + 2absx + -1absx = absx + -1absx

Combine like terms: 2absx + -1absx = 1absx
16abs + 1absx = absx + -1absx

Combine like terms: absx + -1absx = 0
16abs + 1absx = 0

Factor out the Greatest Common Factor (GCF), 'abs'.
abs(16 + x) = 0


Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve:

Simplifying
abs = 0

Solving
abs = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
abs = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

Move all terms containing a to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Add '-1x' to each side of the equation.
x + -1x = -16 + -1x

Combine like terms: x + -1x = 0
0 = -16 + -1x

Simplifying
0 = -16 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| D+9=23 | | b(b+6)=72 | | Lnx=-2.22 | | 50360+.35x=x | | Lax=-2.22 | | abs(2x+54)=abs(x+11) | | 23-x=28 | | 2n-14=46 | | 3(x+1)=x+4 | | Y=9x(1/9) | | .20x+1=-10 | | 2.5x+5=3x | | 625=53x+1 | | .75x-2=28 | | -189-x+12x=53 | | 2x(.333)+1=11 | | (8x)+(2y)=36 | | 10-.5x=7.5 | | f(x)=x^3-x-1 | | .333x+5=13 | | 14-x=30 | | -4x+12=x^2 | | .5x+3=97 | | 10=2/3/h | | -12x+3x-168=93 | | 2x-3y=29 | | (X+2)(X+1)=(X+1)(-X+3) | | 4x+2=5-3x | | log(x+4)+log(x-2)=4 | | 4x-(2x+6)=20 | | 151x+47y+16z=2124 | | 50-13.28=9x |

Equations solver categories