12(z-1)-4(2z-1)=2(z+1)

Simple and best practice solution for 12(z-1)-4(2z-1)=2(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-1)-4(2z-1)=2(z+1) equation:


Simplifying
12(z + -1) + -4(2z + -1) = 2(z + 1)

Reorder the terms:
12(-1 + z) + -4(2z + -1) = 2(z + 1)
(-1 * 12 + z * 12) + -4(2z + -1) = 2(z + 1)
(-12 + 12z) + -4(2z + -1) = 2(z + 1)

Reorder the terms:
-12 + 12z + -4(-1 + 2z) = 2(z + 1)
-12 + 12z + (-1 * -4 + 2z * -4) = 2(z + 1)
-12 + 12z + (4 + -8z) = 2(z + 1)

Reorder the terms:
-12 + 4 + 12z + -8z = 2(z + 1)

Combine like terms: -12 + 4 = -8
-8 + 12z + -8z = 2(z + 1)

Combine like terms: 12z + -8z = 4z
-8 + 4z = 2(z + 1)

Reorder the terms:
-8 + 4z = 2(1 + z)
-8 + 4z = (1 * 2 + z * 2)
-8 + 4z = (2 + 2z)

Solving
-8 + 4z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-8 + 4z + -2z = 2 + 2z + -2z

Combine like terms: 4z + -2z = 2z
-8 + 2z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-8 + 2z = 2 + 0
-8 + 2z = 2

Add '8' to each side of the equation.
-8 + 8 + 2z = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 2z = 2 + 8
2z = 2 + 8

Combine like terms: 2 + 8 = 10
2z = 10

Divide each side by '2'.
z = 5

Simplifying
z = 5

See similar equations:

| f(x)=x^7-4x | | 5b=9d-18 | | 3(z-8)-(-6z-3)=8z | | 3v+v=20 | | 3(2t+5)=2(4t-5) | | 2/3*6e | | v+3v=16 | | 8Y+16=40 | | 23=m-3 | | 4(x-1)-2x=15 | | v-2=4 | | 9.6+7.1-2.5= | | 2x/22 | | 22/2x | | -50t^2+350t-600=0 | | x+2y=15000 | | 0.03(2t-8)=0.06(t-4)+0.00 | | 11x-1=80 | | 16/1*25/3 | | 8-k/-3-3k | | 46+6y-2+8y+14=180 | | 6y+3(y-8)=6(y+1)-2 | | 10(x+2)=6(x+4) | | 7y+53=123 | | 9x+1=9(x+2) | | 10x=247 | | W=3+0.1x | | x=-1/2y | | 5(8x-5)=34 | | 2(3x+3)=6x+6 | | 4x9/12 | | x=1/2y |

Equations solver categories