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

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


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

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

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

Multiply (-2 + 5x) * (-2 + 3x)
(-2(-2 + 3x) + 5x * (-2 + 3x)) = (5x + -1)(3x + 1)
((-2 * -2 + 3x * -2) + 5x * (-2 + 3x)) = (5x + -1)(3x + 1)
((4 + -6x) + 5x * (-2 + 3x)) = (5x + -1)(3x + 1)
(4 + -6x + (-2 * 5x + 3x * 5x)) = (5x + -1)(3x + 1)
(4 + -6x + (-10x + 15x2)) = (5x + -1)(3x + 1)

Combine like terms: -6x + -10x = -16x
(4 + -16x + 15x2) = (5x + -1)(3x + 1)

Reorder the terms:
4 + -16x + 15x2 = (-1 + 5x)(3x + 1)

Reorder the terms:
4 + -16x + 15x2 = (-1 + 5x)(1 + 3x)

Multiply (-1 + 5x) * (1 + 3x)
4 + -16x + 15x2 = (-1(1 + 3x) + 5x * (1 + 3x))
4 + -16x + 15x2 = ((1 * -1 + 3x * -1) + 5x * (1 + 3x))
4 + -16x + 15x2 = ((-1 + -3x) + 5x * (1 + 3x))
4 + -16x + 15x2 = (-1 + -3x + (1 * 5x + 3x * 5x))
4 + -16x + 15x2 = (-1 + -3x + (5x + 15x2))

Combine like terms: -3x + 5x = 2x
4 + -16x + 15x2 = (-1 + 2x + 15x2)

Add '-15x2' to each side of the equation.
4 + -16x + 15x2 + -15x2 = -1 + 2x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
4 + -16x + 0 = -1 + 2x + 15x2 + -15x2
4 + -16x = -1 + 2x + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
4 + -16x = -1 + 2x + 0
4 + -16x = -1 + 2x

Solving
4 + -16x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + -16x + -2x = -1 + 2x + -2x

Combine like terms: -16x + -2x = -18x
4 + -18x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -18x = -1 + 0
4 + -18x = -1

Add '-4' to each side of the equation.
4 + -4 + -18x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + -18x = -1 + -4
-18x = -1 + -4

Combine like terms: -1 + -4 = -5
-18x = -5

Divide each side by '-18'.
x = 0.2777777778

Simplifying
x = 0.2777777778

See similar equations:

| 4/7=28/c | | 4*y=32 | | -(8s+7)= | | 128*2/16 | | -8(8-7r)= | | 3x^2+x-100=0 | | X+x+6=42 | | 8(8-g)= | | 90+3x+(x+10)=180 | | 4x+x+2=54 | | -1/4y-1=-2 | | (-8+9i)(-8+9i)= | | -7(-5c-2r+1)= | | 5x-2=9x-4 | | a^2+2b=50 | | 6(11m-7+2r)= | | 24n^2=96 | | (5x-2)(3x-2)=(5x-1)(3x+2) | | 3(-3g+10)= | | -5t+8=-72 | | 5x-10=x+16 | | x^2-20+100= | | 8(12r+7)= | | 2u-4=0 | | 24n^2=600 | | -0.7+9.78=-0.5x+9.98 | | 2(12m-5+4d)= | | 10(-6-y)= | | Ln(x+7)=2-ln(4) | | 3k/19=-7 | | lg(x+4)-2lg(x-5)=1 | | 1x+2x=100 |

Equations solver categories