12x(x-6)=2(6x-1)(x-7)

Simple and best practice solution for 12x(x-6)=2(6x-1)(x-7) 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 12x(x-6)=2(6x-1)(x-7) equation:


Simplifying
12x(x + -6) = 2(6x + -1)(x + -7)

Reorder the terms:
12x(-6 + x) = 2(6x + -1)(x + -7)
(-6 * 12x + x * 12x) = 2(6x + -1)(x + -7)
(-72x + 12x2) = 2(6x + -1)(x + -7)

Reorder the terms:
-72x + 12x2 = 2(-1 + 6x)(x + -7)

Reorder the terms:
-72x + 12x2 = 2(-1 + 6x)(-7 + x)

Multiply (-1 + 6x) * (-7 + x)
-72x + 12x2 = 2(-1(-7 + x) + 6x * (-7 + x))
-72x + 12x2 = 2((-7 * -1 + x * -1) + 6x * (-7 + x))
-72x + 12x2 = 2((7 + -1x) + 6x * (-7 + x))
-72x + 12x2 = 2(7 + -1x + (-7 * 6x + x * 6x))
-72x + 12x2 = 2(7 + -1x + (-42x + 6x2))

Combine like terms: -1x + -42x = -43x
-72x + 12x2 = 2(7 + -43x + 6x2)
-72x + 12x2 = (7 * 2 + -43x * 2 + 6x2 * 2)
-72x + 12x2 = (14 + -86x + 12x2)

Add '-12x2' to each side of the equation.
-72x + 12x2 + -12x2 = 14 + -86x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-72x + 0 = 14 + -86x + 12x2 + -12x2
-72x = 14 + -86x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-72x = 14 + -86x + 0
-72x = 14 + -86x

Solving
-72x = 14 + -86x

Solving for variable 'x'.

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

Add '86x' to each side of the equation.
-72x + 86x = 14 + -86x + 86x

Combine like terms: -72x + 86x = 14x
14x = 14 + -86x + 86x

Combine like terms: -86x + 86x = 0
14x = 14 + 0
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

See similar equations:

| (x^2)-1=2ln(2) | | lny=-4x | | 5x-2=4x-7 | | 19x+6(-8x+20)=-16-20x-8 | | 11000*.61+.7*x=.65*(11000+x) | | 11000*.61+.7x=.65 | | (13m+1)-(3m-2)= | | 0=2x^3+4x^2 | | 8x^3-2x^2-12x=0 | | (3y-5)-(3y-5)= | | 1=3x+10 | | 9x-(10+x)=80 | | y-0.55y=405 | | 4x+3y+2z=12 | | y-0.65y=200 | | 6x+19x-4=5 | | sqrt(25-x^2-(4*y^2))=0 | | x+(x+1)+(x+2)=183 | | 5+7x-3=8x+11-2x | | 3.2+8.1=1.3x+21.4 | | 17-15x=5x+81 | | 1+10x=14x | | A=.237x^2-3.96x+28.2 | | y=3*ln(x) | | x^2+10x+25=69 | | 3k^2+k=0 | | 100=27 | | -25004.05x=-3000 | | 11-6=-70 | | 3tanx-2cosx=0 | | -2+4=16 | | (w+4)(3w-5)=3w^2+3w-12 |

Equations solver categories