2x[x+(2x-3)]=5x-(3x+2)

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


Simplifying
2x[x + (2x + -3)] = 5x + -1(3x + 2)

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

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

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

Combine like terms: x + 2x = 3x
2x[-3 + 3x] = 5x + -1(3x + 2)
[-3 * 2x + 3x * 2x] = 5x + -1(3x + 2)
[-6x + 6x2] = 5x + -1(3x + 2)

Reorder the terms:
-6x + 6x2 = 5x + -1(2 + 3x)
-6x + 6x2 = 5x + (2 * -1 + 3x * -1)
-6x + 6x2 = 5x + (-2 + -3x)

Reorder the terms:
-6x + 6x2 = -2 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-6x + 6x2 = -2 + 2x

Solving
-6x + 6x2 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
2 + -6x + -2x + 6x2 = -2 + 2x + 2 + -2x

Combine like terms: -6x + -2x = -8x
2 + -8x + 6x2 = -2 + 2x + 2 + -2x

Reorder the terms:
2 + -8x + 6x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
2 + -8x + 6x2 = 0 + 2x + -2x
2 + -8x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -8x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -4x + 3x2) = 0

Factor a trinomial.
2((1 + -3x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.3333333333, 1}

See similar equations:

| 4H+2=3h-2 | | 15*3= | | 4x^2+21x-8=0 | | 1.4y-3=5-2y | | 8n+12=4 | | 2-22=-47+7z | | 56=78.9+p | | 13=k-617 | | y=17x+3 | | 7-x=8 | | 2m+14=30 | | x-0.6=8.26 | | x-2x+3x= | | 0n-9=7-0n | | 5a-3=8a+16 | | 7-4=3c-7 | | |-6+m|=5 | | 3.83=p-11 | | 19+(-24.630)+245.368= | | 3x-2x+5y-y= | | 13x-2+3x=17+2x-23 | | 2c-5=2+4 | | 3x-7a^2=-91 | | 20w+25w= | | -4y-2x+3x-3y= | | a+17-50=-1 | | a=4a^2-3a+2 | | 19f=551 | | -5(x+8)= | | 4y-5y+9=-15+y+20 | | 26x-5=23x-22 | | H+350=16 |

Equations solver categories