(3x-1)-3(2x+3)+42=2x(-x-5)-(x-1)

Simple and best practice solution for (3x-1)-3(2x+3)+42=2x(-x-5)-(x-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 (3x-1)-3(2x+3)+42=2x(-x-5)-(x-1) equation:


Simplifying
(3x + -1) + -3(2x + 3) + 42 = 2x(-1x + -5) + -1(x + -1)

Reorder the terms:
(-1 + 3x) + -3(2x + 3) + 42 = 2x(-1x + -5) + -1(x + -1)

Remove parenthesis around (-1 + 3x)
-1 + 3x + -3(2x + 3) + 42 = 2x(-1x + -5) + -1(x + -1)

Reorder the terms:
-1 + 3x + -3(3 + 2x) + 42 = 2x(-1x + -5) + -1(x + -1)
-1 + 3x + (3 * -3 + 2x * -3) + 42 = 2x(-1x + -5) + -1(x + -1)
-1 + 3x + (-9 + -6x) + 42 = 2x(-1x + -5) + -1(x + -1)

Reorder the terms:
-1 + -9 + 42 + 3x + -6x = 2x(-1x + -5) + -1(x + -1)

Combine like terms: -1 + -9 = -10
-10 + 42 + 3x + -6x = 2x(-1x + -5) + -1(x + -1)

Combine like terms: -10 + 42 = 32
32 + 3x + -6x = 2x(-1x + -5) + -1(x + -1)

Combine like terms: 3x + -6x = -3x
32 + -3x = 2x(-1x + -5) + -1(x + -1)

Reorder the terms:
32 + -3x = 2x(-5 + -1x) + -1(x + -1)
32 + -3x = (-5 * 2x + -1x * 2x) + -1(x + -1)
32 + -3x = (-10x + -2x2) + -1(x + -1)

Reorder the terms:
32 + -3x = -10x + -2x2 + -1(-1 + x)
32 + -3x = -10x + -2x2 + (-1 * -1 + x * -1)
32 + -3x = -10x + -2x2 + (1 + -1x)

Reorder the terms:
32 + -3x = 1 + -10x + -1x + -2x2

Combine like terms: -10x + -1x = -11x
32 + -3x = 1 + -11x + -2x2

Solving
32 + -3x = 1 + -11x + -2x2

Solving for variable 'x'.

Reorder the terms:
32 + -1 + -3x + 11x + 2x2 = 1 + -11x + -2x2 + -1 + 11x + 2x2

Combine like terms: 32 + -1 = 31
31 + -3x + 11x + 2x2 = 1 + -11x + -2x2 + -1 + 11x + 2x2

Combine like terms: -3x + 11x = 8x
31 + 8x + 2x2 = 1 + -11x + -2x2 + -1 + 11x + 2x2

Reorder the terms:
31 + 8x + 2x2 = 1 + -1 + -11x + 11x + -2x2 + 2x2

Combine like terms: 1 + -1 = 0
31 + 8x + 2x2 = 0 + -11x + 11x + -2x2 + 2x2
31 + 8x + 2x2 = -11x + 11x + -2x2 + 2x2

Combine like terms: -11x + 11x = 0
31 + 8x + 2x2 = 0 + -2x2 + 2x2
31 + 8x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
31 + 8x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
15.5 + 4x + x2 = 0

Move the constant term to the right:

Add '-15.5' to each side of the equation.
15.5 + 4x + -15.5 + x2 = 0 + -15.5

Reorder the terms:
15.5 + -15.5 + 4x + x2 = 0 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + 4x + x2 = 0 + -15.5
4x + x2 = 0 + -15.5

Combine like terms: 0 + -15.5 = -15.5
4x + x2 = -15.5

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -15.5 + 4

Reorder the terms:
4 + 4x + x2 = -15.5 + 4

Combine like terms: -15.5 + 4 = -11.5
4 + 4x + x2 = -11.5

Factor a perfect square on the left side:
(x + 2)(x + 2) = -11.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6x+x-6=6x+4 | | 6w-4+4=-3+3+4 | | 2x-6=5x+18-3(x-4) | | -(w+4)=-8w+9 | | 10x+8-5x-3=-16 | | 200+15x=424 | | -4s^2-11s=-3 | | 3-3x=-27 | | (3p-6)=90 | | 7g-5-3-7g= | | 5x+6=-3+2x+18 | | -3(x-6)=66 | | 5=a/4+8 | | 21=-4 | | 4x^4-10x^2= | | 7x+8+6x=21 | | 2(4x-2)+2(7x+5)=512 | | 2x^2-6x-2ax+8+a^2=0 | | 42=-10x-8 | | 24/(-6)(-2)+7 | | 2x+9-7x=24 | | 3-2/9a=1/3a-7 | | -41=x-5x+7 | | 3b^2-18b= | | 18-4y=42 | | 3x+(-3x)= | | 1/3(6x-9)=1/4(12x-8) | | 4n+12=20 | | 4x+6x=5x+7x | | (3x-1)-(2x+3)+42=(-x-5)-(x-1) | | -2/3x+5/6x=1/2x+10 | | 22x=76 |

Equations solver categories