(2x+6)(4x+2)=(8x+3)(x-4)

Simple and best practice solution for (2x+6)(4x+2)=(8x+3)(x-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 (2x+6)(4x+2)=(8x+3)(x-4) equation:


Simplifying
(2x + 6)(4x + 2) = (8x + 3)(x + -4)

Reorder the terms:
(6 + 2x)(4x + 2) = (8x + 3)(x + -4)

Reorder the terms:
(6 + 2x)(2 + 4x) = (8x + 3)(x + -4)

Multiply (6 + 2x) * (2 + 4x)
(6(2 + 4x) + 2x * (2 + 4x)) = (8x + 3)(x + -4)
((2 * 6 + 4x * 6) + 2x * (2 + 4x)) = (8x + 3)(x + -4)
((12 + 24x) + 2x * (2 + 4x)) = (8x + 3)(x + -4)
(12 + 24x + (2 * 2x + 4x * 2x)) = (8x + 3)(x + -4)
(12 + 24x + (4x + 8x2)) = (8x + 3)(x + -4)

Combine like terms: 24x + 4x = 28x
(12 + 28x + 8x2) = (8x + 3)(x + -4)

Reorder the terms:
12 + 28x + 8x2 = (3 + 8x)(x + -4)

Reorder the terms:
12 + 28x + 8x2 = (3 + 8x)(-4 + x)

Multiply (3 + 8x) * (-4 + x)
12 + 28x + 8x2 = (3(-4 + x) + 8x * (-4 + x))
12 + 28x + 8x2 = ((-4 * 3 + x * 3) + 8x * (-4 + x))
12 + 28x + 8x2 = ((-12 + 3x) + 8x * (-4 + x))
12 + 28x + 8x2 = (-12 + 3x + (-4 * 8x + x * 8x))
12 + 28x + 8x2 = (-12 + 3x + (-32x + 8x2))

Combine like terms: 3x + -32x = -29x
12 + 28x + 8x2 = (-12 + -29x + 8x2)

Add '-8x2' to each side of the equation.
12 + 28x + 8x2 + -8x2 = -12 + -29x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
12 + 28x + 0 = -12 + -29x + 8x2 + -8x2
12 + 28x = -12 + -29x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
12 + 28x = -12 + -29x + 0
12 + 28x = -12 + -29x

Solving
12 + 28x = -12 + -29x

Solving for variable 'x'.

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

Add '29x' to each side of the equation.
12 + 28x + 29x = -12 + -29x + 29x

Combine like terms: 28x + 29x = 57x
12 + 57x = -12 + -29x + 29x

Combine like terms: -29x + 29x = 0
12 + 57x = -12 + 0
12 + 57x = -12

Add '-12' to each side of the equation.
12 + -12 + 57x = -12 + -12

Combine like terms: 12 + -12 = 0
0 + 57x = -12 + -12
57x = -12 + -12

Combine like terms: -12 + -12 = -24
57x = -24

Divide each side by '57'.
x = -0.4210526316

Simplifying
x = -0.4210526316

See similar equations:

| 2y+4x=-8 | | 250.00(2.00+x)=3500 | | -39+14x-11x=33 | | 8.00(20.00+x)=360 | | 94+7x=-32 | | abs(7-8x)=0 | | h=-16(2)+32(2)+384 | | 3.00(15.00+x)=96 | | =8(4-7)w | | 6x+123=-4x+49 | | =12(3-5y) | | 169=-10x+49 | | =-9(2x+12) | | h=-16(-24)+32(-24)+384 | | 0=-16t+32t+384 | | 10.00(5.00+x)=130 | | 4x-74=70+12x | | x^2-3x=9504 | | -8+2x+5+11x= | | 3.00(1.00+x)=60 | | x^2-2x=9504 | | 8n+1.4=20.6 | | 6x+11-9x=3+2x-12 | | x=12x-9 | | 2a-5c= | | (X+40)+(x+40)+(x-40)=180 | | 4a+0.4=1.6 | | -60-7x=-72-7x | | 2h-4.25=-8.19 | | 10=12s-14 | | 5k-2=13 | | b-17=4 |

Equations solver categories