6[a-3b+5c]-4[5b-c+2a]-5[2a-4c+3b]=

Simple and best practice solution for 6[a-3b+5c]-4[5b-c+2a]-5[2a-4c+3b]= 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 6[a-3b+5c]-4[5b-c+2a]-5[2a-4c+3b]= equation: 


Simplifying
6[a + -3b + 5c] + -4[5b + -1c + 2a] + -5[2a + -4c + 3b] = 0
[a * 6 + -3b * 6 + 5c * 6] + -4[5b + -1c + 2a] + -5[2a + -4c + 3b] = 0
[6a + -18b + 30c] + -4[5b + -1c + 2a] + -5[2a + -4c + 3b] = 0

Reorder the terms:
6a + -18b + 30c + -4[2a + 5b + -1c] + -5[2a + -4c + 3b] = 0
6a + -18b + 30c + [2a * -4 + 5b * -4 + -1c * -4] + -5[2a + -4c + 3b] = 0
6a + -18b + 30c + [-8a + -20b + 4c] + -5[2a + -4c + 3b] = 0

Reorder the terms:
6a + -18b + 30c + -8a + -20b + 4c + -5[2a + 3b + -4c] = 0
6a + -18b + 30c + -8a + -20b + 4c + [2a * -5 + 3b * -5 + -4c * -5] = 0
6a + -18b + 30c + -8a + -20b + 4c + [-10a + -15b + 20c] = 0

Reorder the terms:
6a + -8a + -10a + -18b + -20b + -15b + 30c + 4c + 20c = 0

Combine like terms: 6a + -8a = -2a
-2a + -10a + -18b + -20b + -15b + 30c + 4c + 20c = 0

Combine like terms: -2a + -10a = -12a
-12a + -18b + -20b + -15b + 30c + 4c + 20c = 0

Combine like terms: -18b + -20b = -38b
-12a + -38b + -15b + 30c + 4c + 20c = 0

Combine like terms: -38b + -15b = -53b
-12a + -53b + 30c + 4c + 20c = 0

Combine like terms: 30c + 4c = 34c
-12a + -53b + 34c + 20c = 0

Combine like terms: 34c + 20c = 54c
-12a + -53b + 54c = 0

Solving
-12a + -53b + 54c = 0

Solving for variable 'a'.

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

Add '53b' to each side of the equation.
-12a + -53b + 53b + 54c = 0 + 53b

Combine like terms: -53b + 53b = 0
-12a + 0 + 54c = 0 + 53b
-12a + 54c = 0 + 53b
Remove the zero:
-12a + 54c = 53b

Add '-54c' to each side of the equation.
-12a + 54c + -54c = 53b + -54c

Combine like terms: 54c + -54c = 0
-12a + 0 = 53b + -54c
-12a = 53b + -54c

Divide each side by '-12'.
a = -4.416666667b + 4.5c

Simplifying
a = -4.416666667b + 4.5c

See similar equations:

| 275-(x+76.9)=27.55 | | 2*X*0.3333333333333=24 | | x-47=-95 | | 3(2x+35)=39 | | x-1.25=-9.35 | | 12-6x=-4+2x | | 2*18Y=24 | | x/22-3=-2 | | x+16.75=-14.25 | | -5.5x=22 | | 6x^3+13x^2+2x= | | 5(2+0.666666667y)=5-25y | | 18Y^2=2 | | 3x+2+9=12 | | 18Y*2=2 | | 5x+5/x-5=11 | | 5b+10/a*a/5b-15 | | 6[a-3b+5c]-4[5b-c+2a]= | | n/3-10=-16 | | 1/5(2x+3)-1/2(x-4)=3/4(3x-4) | | -12+-8= | | 6b(b-5)-5b=-3 | | 4x-35=2x-9 | | (-4+x)(3x-5)= | | -9--9+-4= | | 5x-2y-9x-y= | | 3-+12= | | 7x(x+9)=2x+18 | | 15-+2= | | 9x+9x+18= | | -5--16= | | -19-+6= |

Equations solver categories