(5x-2)(6x-1)=(6x-1)(5x+2)

Simple and best practice solution for (5x-2)(6x-1)=(6x-1)(5x+2) 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)(6x-1)=(6x-1)(5x+2) equation: 


Simplifying
(5x + -2)(6x + -1) = (6x + -1)(5x + 2)

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

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

Multiply (-2 + 5x) * (-1 + 6x)
(-2(-1 + 6x) + 5x * (-1 + 6x)) = (6x + -1)(5x + 2)
((-1 * -2 + 6x * -2) + 5x * (-1 + 6x)) = (6x + -1)(5x + 2)
((2 + -12x) + 5x * (-1 + 6x)) = (6x + -1)(5x + 2)
(2 + -12x + (-1 * 5x + 6x * 5x)) = (6x + -1)(5x + 2)
(2 + -12x + (-5x + 30x2)) = (6x + -1)(5x + 2)

Combine like terms: -12x + -5x = -17x
(2 + -17x + 30x2) = (6x + -1)(5x + 2)

Reorder the terms:
2 + -17x + 30x2 = (-1 + 6x)(5x + 2)

Reorder the terms:
2 + -17x + 30x2 = (-1 + 6x)(2 + 5x)

Multiply (-1 + 6x) * (2 + 5x)
2 + -17x + 30x2 = (-1(2 + 5x) + 6x * (2 + 5x))
2 + -17x + 30x2 = ((2 * -1 + 5x * -1) + 6x * (2 + 5x))
2 + -17x + 30x2 = ((-2 + -5x) + 6x * (2 + 5x))
2 + -17x + 30x2 = (-2 + -5x + (2 * 6x + 5x * 6x))
2 + -17x + 30x2 = (-2 + -5x + (12x + 30x2))

Combine like terms: -5x + 12x = 7x
2 + -17x + 30x2 = (-2 + 7x + 30x2)

Add '-30x2' to each side of the equation.
2 + -17x + 30x2 + -30x2 = -2 + 7x + 30x2 + -30x2

Combine like terms: 30x2 + -30x2 = 0
2 + -17x + 0 = -2 + 7x + 30x2 + -30x2
2 + -17x = -2 + 7x + 30x2 + -30x2

Combine like terms: 30x2 + -30x2 = 0
2 + -17x = -2 + 7x + 0
2 + -17x = -2 + 7x

Solving
2 + -17x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + -17x + -7x = -2 + 7x + -7x

Combine like terms: -17x + -7x = -24x
2 + -24x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -24x = -2 + 0
2 + -24x = -2

Add '-2' to each side of the equation.
2 + -2 + -24x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -24x = -2 + -2
-24x = -2 + -2

Combine like terms: -2 + -2 = -4
-24x = -4

Divide each side by '-24'.
x = 0.1666666667

Simplifying
x = 0.1666666667

See similar equations:

| 5(6a+8)=-29+7a | | 9x+9=15x-3 | | h(t)=4t^2+4t+1 | | 4(2-x)+1=2x+2-5(1-4x) | | 5k+4=10-k | | 5(6a+8)=29+7a | | [5-9]-[12]= | | 2(x^2+2x)=390 | | cos(x/4)=0 | | 300[4]= | | 13x+2=15x-6 | | Y*7=9 | | U=4-3x | | 4(3+x)=52 | | 8n-3=6n-2 | | 6.11x+36=37.3321+6x | | (-6x+5)-(x^2+x-9)= | | Y-17=-11 | | 5(6a+8)=-29+7 | | -7=8+-50+X | | X-12.75=29.75 | | 5a+8=13 | | [-6+9]= | | -16=14-17x | | Log(3x)-4=-3 | | 2e-12=7e+18 | | Log(3c)-4=-3 | | x^2+4x-75=0 | | b+4a=17 | | (5+y)+a=a+5 | | -34=-16+a | | 180=4x+11x+19 |

Equations solver categories