(2x+1)(3x+2)=(2x+5)(3x-1)

Simple and best practice solution for (2x+1)(3x+2)=(2x+5)(3x-1) 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+1)(3x+2)=(2x+5)(3x-1) equation:


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

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

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

Multiply (1 + 2x) * (2 + 3x)
(1(2 + 3x) + 2x * (2 + 3x)) = (2x + 5)(3x + -1)
((2 * 1 + 3x * 1) + 2x * (2 + 3x)) = (2x + 5)(3x + -1)
((2 + 3x) + 2x * (2 + 3x)) = (2x + 5)(3x + -1)
(2 + 3x + (2 * 2x + 3x * 2x)) = (2x + 5)(3x + -1)
(2 + 3x + (4x + 6x2)) = (2x + 5)(3x + -1)

Combine like terms: 3x + 4x = 7x
(2 + 7x + 6x2) = (2x + 5)(3x + -1)

Reorder the terms:
2 + 7x + 6x2 = (5 + 2x)(3x + -1)

Reorder the terms:
2 + 7x + 6x2 = (5 + 2x)(-1 + 3x)

Multiply (5 + 2x) * (-1 + 3x)
2 + 7x + 6x2 = (5(-1 + 3x) + 2x * (-1 + 3x))
2 + 7x + 6x2 = ((-1 * 5 + 3x * 5) + 2x * (-1 + 3x))
2 + 7x + 6x2 = ((-5 + 15x) + 2x * (-1 + 3x))
2 + 7x + 6x2 = (-5 + 15x + (-1 * 2x + 3x * 2x))
2 + 7x + 6x2 = (-5 + 15x + (-2x + 6x2))

Combine like terms: 15x + -2x = 13x
2 + 7x + 6x2 = (-5 + 13x + 6x2)

Add '-6x2' to each side of the equation.
2 + 7x + 6x2 + -6x2 = -5 + 13x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 + 7x + 0 = -5 + 13x + 6x2 + -6x2
2 + 7x = -5 + 13x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 + 7x = -5 + 13x + 0
2 + 7x = -5 + 13x

Solving
2 + 7x = -5 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
2 + 7x + -13x = -5 + 13x + -13x

Combine like terms: 7x + -13x = -6x
2 + -6x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -6x = -5 + 0
2 + -6x = -5

Add '-2' to each side of the equation.
2 + -2 + -6x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -5 + -2
-6x = -5 + -2

Combine like terms: -5 + -2 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

See similar equations:

| 8cos^2Theta=2 | | m=(3)-(4)/(5)-(-2) | | 43+34X=0 | | 5x^2+6x^2=123 | | (2u-5)(2+u)=0 | | 35m=7m+49 | | 50/100 | | 21x+12x= | | 60/44 | | 6x+31=85 | | -37-9x=67-5x | | 5x^2+6x+2*(x*1)=125 | | 2n^2-n-136=0 | | (h+3)-(8h-1)= | | 2x^2+13x+31=0 | | 2x-5(2)=8 | | 0.75x+1=65 | | 2(-1)-5y=8 | | 18+8x=180 | | 5x*2=0 | | 2x+3y-4-5x+2= | | -3+-5=-8 | | 50x^2+85x+30= | | 5x^2+6x^2+6x=123 | | .9x=13-.18x | | x*(1/10)=2/5 | | 3x-147=56-4x | | 4x+7.2342=-2x | | X=360 | | k+20= | | 3s-6=18 | | 4x+50=-2x |

Equations solver categories