Abs(2x)=abs(x-3)

Simple and best practice solution for Abs(2x)=abs(x-3) 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)=abs(x-3) equation:


Simplifying
Abs(2x) = abs(x + -3)

Remove parenthesis around (2x)
bsA * 2x = abs(x + -3)

Reorder the terms for easier multiplication:
2bsA * x = abs(x + -3)

Multiply bsA * x
2bsxA = abs(x + -3)

Reorder the terms:
2bsxA = abs(-3 + x)
2bsxA = (-3 * abs + x * abs)
2bsxA = (-3abs + absx)

Solving
2bsxA = -3abs + absx

Solving for variable 'b'.

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

Add '3abs' to each side of the equation.
3abs + 2bsxA = -3abs + 3abs + absx

Combine like terms: -3abs + 3abs = 0
3abs + 2bsxA = 0 + absx
3abs + 2bsxA = absx

Add '-1absx' to each side of the equation.
3abs + -1absx + 2bsxA = absx + -1absx

Combine like terms: absx + -1absx = 0
3abs + -1absx + 2bsxA = 0

Factor out the Greatest Common Factor (GCF), 'bs'.
bs(3a + -1ax + 2xA) = 0

Subproblem 1

Set the factor 'bs' equal to zero and attempt to solve: Simplifying bs = 0 Solving bs = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bs = 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 '(3a + -1ax + 2xA)' equal to zero and attempt to solve: Simplifying 3a + -1ax + 2xA = 0 Solving 3a + -1ax + 2xA = 0 Move all terms containing b to the left, all other terms to the right. Add '-3a' to each side of the equation. 3a + -1ax + -3a + 2xA = 0 + -3a Reorder the terms: 3a + -3a + -1ax + 2xA = 0 + -3a Combine like terms: 3a + -3a = 0 0 + -1ax + 2xA = 0 + -3a -1ax + 2xA = 0 + -3a Remove the zero: -1ax + 2xA = -3a Add 'ax' to each side of the equation. -1ax + ax + 2xA = -3a + ax Combine like terms: -1ax + ax = 0 0 + 2xA = -3a + ax 2xA = -3a + ax Add '-2xA' to each side of the equation. 2xA + -2xA = -3a + ax + -2xA Combine like terms: 2xA + -2xA = 0 0 = -3a + ax + -2xA Simplifying 0 = -3a + ax + -2xA 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:

| 79-6t-5t^2=0 | | -28=6n-7n | | (7x+7)(7x+7)=9 | | 2x-8x+6=x-5+11 | | 2x^2-16x+9=0 | | 8(x^3)/6(x^7) | | x-2-3=5 | | 12z+12=16z+12 | | X^2(x+8)=x+8 | | 8x^2+1-3x=0 | | (2/3x)=(90) | | 9-11-5=37 | | 1-8+1= | | 0=79-6t-5t^2 | | 5-3(-4)=x+9 | | 10x+4+4-3x-2=3x-9-x+15 | | (8/x-4)=(2/x+2) | | n-(-2)=15 | | 7212=6x | | (x+1)/(2x+3)=2/3 | | 4x+x+15+3-8x=13 | | 3x-5+4x+2=11 | | x-3+2=-4 | | -2(q+8)=-10q | | 8-x/3=-7 | | 81x^2+270x+175=0 | | [2x-(4x^2-7x)]-[3x-(2x^2+5x-4)]= | | 2/3(7-4)=2 | | -101=3-8(-3x-2) | | 19=m+2 | | -20+50t-5t^2=0 | | 2y^3+7y+3= |

Equations solver categories