(x+2)(x+3)+(x-2)(1-x)=4(1+2x)

Simple and best practice solution for (x+2)(x+3)+(x-2)(1-x)=4(1+2x) 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 (x+2)(x+3)+(x-2)(1-x)=4(1+2x) equation: 


Simplifying
(x + 2)(x + 3) + (x + -2)(1 + -1x) = 4(1 + 2x)

Reorder the terms:
(2 + x)(x + 3) + (x + -2)(1 + -1x) = 4(1 + 2x)

Reorder the terms:
(2 + x)(3 + x) + (x + -2)(1 + -1x) = 4(1 + 2x)

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x)) + (x + -2)(1 + -1x) = 4(1 + 2x)
((3 * 2 + x * 2) + x(3 + x)) + (x + -2)(1 + -1x) = 4(1 + 2x)
((6 + 2x) + x(3 + x)) + (x + -2)(1 + -1x) = 4(1 + 2x)
(6 + 2x + (3 * x + x * x)) + (x + -2)(1 + -1x) = 4(1 + 2x)
(6 + 2x + (3x + x2)) + (x + -2)(1 + -1x) = 4(1 + 2x)

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2) + (x + -2)(1 + -1x) = 4(1 + 2x)

Reorder the terms:
6 + 5x + x2 + (-2 + x)(1 + -1x) = 4(1 + 2x)

Multiply (-2 + x) * (1 + -1x)
6 + 5x + x2 + (-2(1 + -1x) + x(1 + -1x)) = 4(1 + 2x)
6 + 5x + x2 + ((1 * -2 + -1x * -2) + x(1 + -1x)) = 4(1 + 2x)
6 + 5x + x2 + ((-2 + 2x) + x(1 + -1x)) = 4(1 + 2x)
6 + 5x + x2 + (-2 + 2x + (1 * x + -1x * x)) = 4(1 + 2x)
6 + 5x + x2 + (-2 + 2x + (1x + -1x2)) = 4(1 + 2x)

Combine like terms: 2x + 1x = 3x
6 + 5x + x2 + (-2 + 3x + -1x2) = 4(1 + 2x)

Reorder the terms:
6 + -2 + 5x + 3x + x2 + -1x2 = 4(1 + 2x)

Combine like terms: 6 + -2 = 4
4 + 5x + 3x + x2 + -1x2 = 4(1 + 2x)

Combine like terms: 5x + 3x = 8x
4 + 8x + x2 + -1x2 = 4(1 + 2x)

Combine like terms: x2 + -1x2 = 0
4 + 8x + 0 = 4(1 + 2x)
4 + 8x = 4(1 + 2x)
4 + 8x = (1 * 4 + 2x * 4)
4 + 8x = (4 + 8x)

Add '-4' to each side of the equation.
4 + -4 + 8x = 4 + -4 + 8x

Combine like terms: 4 + -4 = 0
0 + 8x = 4 + -4 + 8x
8x = 4 + -4 + 8x

Combine like terms: 4 + -4 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

See similar equations:

| 3/8=5/12-1/3b | | 17.78=39+3.56 | | 7(w+2a)+8w+5= | | 4n-1=3n-3 | | 5n+7-2n=6n+28 | | 4y=2x-24 | | -9.4+h=-4.62 | | xm=n+pforx | | 2.6b=130 | | 6(y+9)-62= | | 5(w-2)-8w=-31 | | 3/5x-2/5(x-3)=1/5x=3 | | v-15=-9 | | 17.4-3.8= | | 8-3.5= | | 9p-12=123 | | b-7+7b=34 | | 3x+5+2=90 | | 7-2.9= | | 15y-8y=28 | | 7+2.9= | | t-23=-20 | | -5(-4-4d)=80 | | 6(10-5t)=-300 | | 46x+7x=180 | | c+13=15 | | a+a=14 | | (3x+2)+(5x)=180 | | 8-3(2M-4)=-28 | | 3y+4x=-4 | | 8-3(2M-4)=28 | | -136=8k+4(2k-2) |

Equations solver categories