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

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


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

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

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

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

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

Combine like terms: 12z + -4z = 8z
40 + 8z = 3(z + -3) + 4(z + -1)

Reorder the terms:
40 + 8z = 3(-3 + z) + 4(z + -1)
40 + 8z = (-3 * 3 + z * 3) + 4(z + -1)
40 + 8z = (-9 + 3z) + 4(z + -1)

Reorder the terms:
40 + 8z = -9 + 3z + 4(-1 + z)
40 + 8z = -9 + 3z + (-1 * 4 + z * 4)
40 + 8z = -9 + 3z + (-4 + 4z)

Reorder the terms:
40 + 8z = -9 + -4 + 3z + 4z

Combine like terms: -9 + -4 = -13
40 + 8z = -13 + 3z + 4z

Combine like terms: 3z + 4z = 7z
40 + 8z = -13 + 7z

Solving
40 + 8z = -13 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
40 + 8z + -7z = -13 + 7z + -7z

Combine like terms: 8z + -7z = 1z
40 + 1z = -13 + 7z + -7z

Combine like terms: 7z + -7z = 0
40 + 1z = -13 + 0
40 + 1z = -13

Add '-40' to each side of the equation.
40 + -40 + 1z = -13 + -40

Combine like terms: 40 + -40 = 0
0 + 1z = -13 + -40
1z = -13 + -40

Combine like terms: -13 + -40 = -53
1z = -53

Divide each side by '1'.
z = -53

Simplifying
z = -53

See similar equations:

| 8x-6=8(x+7) | | -33=2(x+4) | | 12x-6(6)=-36 | | .93y+2=y-.8 | | 45.22=y-3.78 | | 8=4x+20 | | .5(x+200)=.57x-432 | | 3.6x=2.4x+6.0 | | 4(-3)+20=y | | 17/10x17/10 | | 3x^2-39x+90=0 | | 9t-7=7t-3 | | 2(x+6)=6x+9-4x+3 | | 12x^3-23x^2+5x=0 | | x=2-(3/2*y) | | 400+k^2/6=625 | | 48x=(54x+378) | | -8(8.25)+8y=14 | | 9x+4x-8x=26+4 | | 5(3z+1)-6=119 | | -8x+8(10)=14 | | x+3/2y=2 | | 9(z+4)-3(z-4)=2(z-4)+3(z-1) | | x+1.5y=2 | | 8(7+2)+8-9+29*8= | | 10(z+2)-2(z-4)=4(z-1)+3(z-4) | | .03(15000-x)=2100 | | 23=-2(24-m)+3(m-3) | | 6(4x-7)-5=6(x-3)+97 | | 6(3x-7)-3=6(x-4)+39 | | 2(x+1)=7(x-1)-11 | | 3(x+10)=21 |

Equations solver categories