Abs(3x-1)+abs(2x-5)=1

Simple and best practice solution for Abs(3x-1)+abs(2x-5)=1 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(3x-1)+abs(2x-5)=1 equation: 


Simplifying
Abs(3x + -1) + abs(2x + -5) = 1

Reorder the terms:
bsA(-1 + 3x) + abs(2x + -5) = 1
(-1 * bsA + 3x * bsA) + abs(2x + -5) = 1
(-1bsA + 3bsxA) + abs(2x + -5) = 1

Reorder the terms:
-1bsA + 3bsxA + abs(-5 + 2x) = 1
-1bsA + 3bsxA + (-5 * abs + 2x * abs) = 1
-1bsA + 3bsxA + (-5abs + 2absx) = 1

Reorder the terms:
-5abs + 2absx + -1bsA + 3bsxA = 1

Solving
-5abs + 2absx + -1bsA + 3bsxA = 1

Solving for variable 'a'.

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

Add 'bsA' to each side of the equation.
-5abs + 2absx + -1bsA + bsA + 3bsxA = 1 + bsA

Combine like terms: -1bsA + bsA = 0
-5abs + 2absx + 0 + 3bsxA = 1 + bsA
-5abs + 2absx + 3bsxA = 1 + bsA

Add '-3bsxA' to each side of the equation.
-5abs + 2absx + 3bsxA + -3bsxA = 1 + bsA + -3bsxA

Combine like terms: 3bsxA + -3bsxA = 0
-5abs + 2absx + 0 = 1 + bsA + -3bsxA
-5abs + 2absx = 1 + bsA + -3bsxA

Reorder the terms:
-1 + -5abs + 2absx + -1bsA + 3bsxA = 1 + bsA + -3bsxA + -1 + -1bsA + 3bsxA

Reorder the terms:
-1 + -5abs + 2absx + -1bsA + 3bsxA = 1 + -1 + bsA + -1bsA + -3bsxA + 3bsxA

Combine like terms: 1 + -1 = 0
-1 + -5abs + 2absx + -1bsA + 3bsxA = 0 + bsA + -1bsA + -3bsxA + 3bsxA
-1 + -5abs + 2absx + -1bsA + 3bsxA = bsA + -1bsA + -3bsxA + 3bsxA

Combine like terms: bsA + -1bsA = 0
-1 + -5abs + 2absx + -1bsA + 3bsxA = 0 + -3bsxA + 3bsxA
-1 + -5abs + 2absx + -1bsA + 3bsxA = -3bsxA + 3bsxA

Combine like terms: -3bsxA + 3bsxA = 0
-1 + -5abs + 2absx + -1bsA + 3bsxA = 0

The solution to this equation could not be determined.

See similar equations:

| -4y=-3x+-8 | | 3(x+6)+5(x+4)=1 | | 10-.2qd=2+.2qs | | 12.035*6.4= | | .18x+.3(x-3)=.01(2x-2) | | 6x-40=-104 | | 15x^2+4-[6(x^2-8)+6]= | | x^3-x^2=48 | | 10x-60+5x=0 | | 10-.2q=2+.2q | | (2s^2t^2p)(13s^2t^2p^2)= | | Y=[30+0.75(Y-0.20Y)]+90+0.2Y | | 4t-3=27-t | | x^4+2x^3+-13x^2+14x+24=0 | | -3x-2=2 | | -3x+15=7-3x | | 9x+3y=65 | | 20=3-(y+10) | | b-8+2b=17 | | Y=[30+0.75(Y-0.20Y)]+90+140 | | Y=[50+0.75(Y-0.20Y)]+90+140 | | 5x-3y=159x+3y=65 | | -11x=4 | | 0.1-0.02(x+3)=0.02(2-x) | | Y=[200+0.8(Y-0.25Y)]+200+200 | | -3v-32=-5(v+6) | | -35x^2-11x+6=0 | | X^2-x-15=15 | | -35y^2-11Y+6=0 | | 3x+9y=27y | | 1.29n=48+.99x | | -4(5t-2)+9t=5t+7 |

Equations solver categories