(x-2)(3x+6)=(x+1)(3x-4)

Simple and best practice solution for (x-2)(3x+6)=(x+1)(3x-4) 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)(3x+6)=(x+1)(3x-4) equation: 


Simplifying
(x + -2)(3x + 6) = (x + 1)(3x + -4)

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

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

Multiply (-2 + x) * (6 + 3x)
(-2(6 + 3x) + x(6 + 3x)) = (x + 1)(3x + -4)
((6 * -2 + 3x * -2) + x(6 + 3x)) = (x + 1)(3x + -4)
((-12 + -6x) + x(6 + 3x)) = (x + 1)(3x + -4)
(-12 + -6x + (6 * x + 3x * x)) = (x + 1)(3x + -4)
(-12 + -6x + (6x + 3x2)) = (x + 1)(3x + -4)

Combine like terms: -6x + 6x = 0
(-12 + 0 + 3x2) = (x + 1)(3x + -4)
(-12 + 3x2) = (x + 1)(3x + -4)

Reorder the terms:
-12 + 3x2 = (1 + x)(3x + -4)

Reorder the terms:
-12 + 3x2 = (1 + x)(-4 + 3x)

Multiply (1 + x) * (-4 + 3x)
-12 + 3x2 = (1(-4 + 3x) + x(-4 + 3x))
-12 + 3x2 = ((-4 * 1 + 3x * 1) + x(-4 + 3x))
-12 + 3x2 = ((-4 + 3x) + x(-4 + 3x))
-12 + 3x2 = (-4 + 3x + (-4 * x + 3x * x))
-12 + 3x2 = (-4 + 3x + (-4x + 3x2))

Combine like terms: 3x + -4x = -1x
-12 + 3x2 = (-4 + -1x + 3x2)

Add '-3x2' to each side of the equation.
-12 + 3x2 + -3x2 = -4 + -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12 + 0 = -4 + -1x + 3x2 + -3x2
-12 = -4 + -1x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12 = -4 + -1x + 0
-12 = -4 + -1x

Solving
-12 = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + x = -4 + -1x + x

Combine like terms: -1x + x = 0
-12 + x = -4 + 0
-12 + x = -4

Add '12' to each side of the equation.
-12 + 12 + x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + x = -4 + 12
x = -4 + 12

Combine like terms: -4 + 12 = 8
x = 8

Simplifying
x = 8

See similar equations:

| 2r-7-8r=-23 | | 6y-10=4y+6 | | 3x+14=5x+20 | | 25+2x=1 | | x=800*0.05*9 | | w=x+y-8 | | 18(2)+27(2)=x(2) | | -5(2s-9)=-34-3s | | 150=1000*x*3 | | 4x^4-2x^2-35=0 | | 9+-7x=9+9x | | e^7-4x=1904 | | 2x+6=3-x | | 7-3x=4-10x | | 4.5x=900 | | -8x=-10x+40 | | 5b-1-2b=-1 | | 5x-45=(-20) | | -3y+9=-7 | | x^2+y^2-8x+6y=0 | | -3+9x=-21 | | 76x=5x | | x-50+19= | | 5y-25=-40 | | 5=-22+x | | 9-7x=9+9x | | 87.75=x*0.045*3 | | (2u-3)(7+u)=0 | | 23x+5+120=180 | | m^3+3m^2+3m+9=0 | | 4x^2+6=310 | | v-6=-6 |

Equations solver categories