12(z+3)-4(Z-1)=4(Z-1)+3(z-4)

Simple and best practice solution for 12(z+3)-4(Z-1)=4(Z-1)+3(z-4) 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 12(z+3)-4(Z-1)=4(Z-1)+3(z-4) equation: 


Simplifying
12(z + 3) + -4(Z + -1) = 4(Z + -1) + 3(z + -4)

Reorder the terms:
12(3 + z) + -4(Z + -1) = 4(Z + -1) + 3(z + -4)
(3 * 12 + z * 12) + -4(Z + -1) = 4(Z + -1) + 3(z + -4)
(36 + 12z) + -4(Z + -1) = 4(Z + -1) + 3(z + -4)

Reorder the terms:
36 + 12z + -4(-1 + Z) = 4(Z + -1) + 3(z + -4)
36 + 12z + (-1 * -4 + Z * -4) = 4(Z + -1) + 3(z + -4)
36 + 12z + (4 + -4Z) = 4(Z + -1) + 3(z + -4)

Reorder the terms:
36 + 4 + -4Z + 12z = 4(Z + -1) + 3(z + -4)

Combine like terms: 36 + 4 = 40
40 + -4Z + 12z = 4(Z + -1) + 3(z + -4)

Reorder the terms:
40 + -4Z + 12z = 4(-1 + Z) + 3(z + -4)
40 + -4Z + 12z = (-1 * 4 + Z * 4) + 3(z + -4)
40 + -4Z + 12z = (-4 + 4Z) + 3(z + -4)

Reorder the terms:
40 + -4Z + 12z = -4 + 4Z + 3(-4 + z)
40 + -4Z + 12z = -4 + 4Z + (-4 * 3 + z * 3)
40 + -4Z + 12z = -4 + 4Z + (-12 + 3z)

Reorder the terms:
40 + -4Z + 12z = -4 + -12 + 4Z + 3z

Combine like terms: -4 + -12 = -16
40 + -4Z + 12z = -16 + 4Z + 3z

Solving
40 + -4Z + 12z = -16 + 4Z + 3z

Solving for variable 'Z'.

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

Add '-4Z' to each side of the equation.
40 + -4Z + -4Z + 12z = -16 + 4Z + -4Z + 3z

Combine like terms: -4Z + -4Z = -8Z
40 + -8Z + 12z = -16 + 4Z + -4Z + 3z

Combine like terms: 4Z + -4Z = 0
40 + -8Z + 12z = -16 + 0 + 3z
40 + -8Z + 12z = -16 + 3z

Add '-40' to each side of the equation.
40 + -8Z + -40 + 12z = -16 + -40 + 3z

Reorder the terms:
40 + -40 + -8Z + 12z = -16 + -40 + 3z

Combine like terms: 40 + -40 = 0
0 + -8Z + 12z = -16 + -40 + 3z
-8Z + 12z = -16 + -40 + 3z

Combine like terms: -16 + -40 = -56
-8Z + 12z = -56 + 3z

Add '-12z' to each side of the equation.
-8Z + 12z + -12z = -56 + 3z + -12z

Combine like terms: 12z + -12z = 0
-8Z + 0 = -56 + 3z + -12z
-8Z = -56 + 3z + -12z

Combine like terms: 3z + -12z = -9z
-8Z = -56 + -9z

Divide each side by '-8'.
Z = 7 + 1.125z

Simplifying
Z = 7 + 1.125z

See similar equations:

| 21.72=y*1.05 | | 4x+4y-3xy+6xy= | | 4(4x-8)-3=4(x-2)+57 | | m^6+9m^4+m^2+16=0 | | 3(x+2)=6(x-1) | | -3(2t+2)=12 | | m^3-m^2-m-1=0 | | 80=y*1.05 | | 3(y+4)=8 | | 14x-(2x-7)=31 | | (x*0.21)+x=281.19 | | y^2+4y-140=0 | | 2(3s+2)=82 | | 8(2l+10)=192 | | 98.44=y*1.05 | | -3sinx=cosx | | 94.43=y*1.05 | | 2x+7-x=7+3x-6 | | 6(4s+7)=234 | | 4x-6x+49=3x+39 | | 6(2l+1)=114 | | 4x+5x-2x=32+3 | | -20x+y=65 | | 2(a-10)=24 | | Y*2.91=69.81 | | 69.81=y*1.0416845 | | 69.81=y*1.05 | | N^2-46n=0 | | -2+3x=-8+36 | | (x-7-8i)(x-7+8i)=0 | | m^2-4m=-8 | | 9x^2-82x+9=0 |

Equations solver categories