(8x+2)(x-5)=(4x-3)(2x+3)

Simple and best practice solution for (8x+2)(x-5)=(4x-3)(2x+3) 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 (8x+2)(x-5)=(4x-3)(2x+3) equation: 


Simplifying
(8x + 2)(x + -5) = (4x + -3)(2x + 3)

Reorder the terms:
(2 + 8x)(x + -5) = (4x + -3)(2x + 3)

Reorder the terms:
(2 + 8x)(-5 + x) = (4x + -3)(2x + 3)

Multiply (2 + 8x) * (-5 + x)
(2(-5 + x) + 8x * (-5 + x)) = (4x + -3)(2x + 3)
((-5 * 2 + x * 2) + 8x * (-5 + x)) = (4x + -3)(2x + 3)
((-10 + 2x) + 8x * (-5 + x)) = (4x + -3)(2x + 3)
(-10 + 2x + (-5 * 8x + x * 8x)) = (4x + -3)(2x + 3)
(-10 + 2x + (-40x + 8x2)) = (4x + -3)(2x + 3)

Combine like terms: 2x + -40x = -38x
(-10 + -38x + 8x2) = (4x + -3)(2x + 3)

Reorder the terms:
-10 + -38x + 8x2 = (-3 + 4x)(2x + 3)

Reorder the terms:
-10 + -38x + 8x2 = (-3 + 4x)(3 + 2x)

Multiply (-3 + 4x) * (3 + 2x)
-10 + -38x + 8x2 = (-3(3 + 2x) + 4x * (3 + 2x))
-10 + -38x + 8x2 = ((3 * -3 + 2x * -3) + 4x * (3 + 2x))
-10 + -38x + 8x2 = ((-9 + -6x) + 4x * (3 + 2x))
-10 + -38x + 8x2 = (-9 + -6x + (3 * 4x + 2x * 4x))
-10 + -38x + 8x2 = (-9 + -6x + (12x + 8x2))

Combine like terms: -6x + 12x = 6x
-10 + -38x + 8x2 = (-9 + 6x + 8x2)

Add '-8x2' to each side of the equation.
-10 + -38x + 8x2 + -8x2 = -9 + 6x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-10 + -38x + 0 = -9 + 6x + 8x2 + -8x2
-10 + -38x = -9 + 6x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-10 + -38x = -9 + 6x + 0
-10 + -38x = -9 + 6x

Solving
-10 + -38x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-10 + -38x + -6x = -9 + 6x + -6x

Combine like terms: -38x + -6x = -44x
-10 + -44x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -44x = -9 + 0
-10 + -44x = -9

Add '10' to each side of the equation.
-10 + 10 + -44x = -9 + 10

Combine like terms: -10 + 10 = 0
0 + -44x = -9 + 10
-44x = -9 + 10

Combine like terms: -9 + 10 = 1
-44x = 1

Divide each side by '-44'.
x = -0.02272727273

Simplifying
x = -0.02272727273

See similar equations:

| 9=s+7 | | 2x+20+5x+3x=180 | | 15/16c=2/48 | | 4x+8=2x+15-x+2 | | 2/5m=16 | | (7y+29)(2y+9)=0 | | 25x+4-5x=10x+104 | | 11=a/-3+7 | | 13x+1=2x+12 | | x-3=3x-19 | | 5/12=s-11/12 | | (x-9)(x+4)=(x-6)(x-1) | | 3x-8(2x+3)=-6(2x+5) | | 1/3x+1/2=11/12 | | (y)/-6/(8z)/3 | | 4(2-(2x-3))=2(4-3x) | | .75x-3(.5x+4)=-762 | | (y)/-6*(8z)/3 | | 16f+24=8(2f+3) | | 12x-2(4x-4)=24 | | -3a+51=0 | | n+4n-7=33 | | 12-4n=18-n | | 6(4s+12)=8(3s-14) | | m+0.6=3m+0.8 | | 430=600+17w | | 6-7.25= | | 8(2r-3)-r=3(3r+2) | | n-2=6+3n | | -6x-13=-x-23 | | 5s-10=3s+2 | | 2(4b-6)=4(3b-7) |

Equations solver categories