3(-z+12)=4(z-5)

Simple and best practice solution for 3(-z+12)=4(z-5) 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 3(-z+12)=4(z-5) equation: 


Simplifying
3(-1z + 12) = 4(z + -5)

Reorder the terms:
3(12 + -1z) = 4(z + -5)
(12 * 3 + -1z * 3) = 4(z + -5)
(36 + -3z) = 4(z + -5)

Reorder the terms:
36 + -3z = 4(-5 + z)
36 + -3z = (-5 * 4 + z * 4)
36 + -3z = (-20 + 4z)

Solving
36 + -3z = -20 + 4z

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.
36 + -3z + -4z = -20 + 4z + -4z

Combine like terms: -3z + -4z = -7z
36 + -7z = -20 + 4z + -4z

Combine like terms: 4z + -4z = 0
36 + -7z = -20 + 0
36 + -7z = -20

Add '-36' to each side of the equation.
36 + -36 + -7z = -20 + -36

Combine like terms: 36 + -36 = 0
0 + -7z = -20 + -36
-7z = -20 + -36

Combine like terms: -20 + -36 = -56
-7z = -56

Divide each side by '-7'.
z = 8

Simplifying
z = 8

See similar equations:

| 2x-5+3x=5 | | 5-6x=3(1-2x) | | 3n+6=87 | | Z^2-20z-21=0 | | 5y=3(y-2) | | -21=-5v+3(v-5) | | 3b+16=40 | | -16-9-4x=-9 | | =1+1 | | 8x+20=2x+20 | | -5=6n | | 5-3x+2=4x+7 | | 4x^2-23x+13=-7x+6 | | 24-6m=0 | | .5(10z+8)-2=4(z-6) | | 8+9x=-6 | | 2(x+3)=5+2x | | x/3+4=x/6+2 | | 5x+35=7(x+5)-2x | | 6x+3(1+3x)=3+15x | | 3x^6+192=0 | | 2x+24=4(x+6)-2x | | -9-6k+9-(-2k)= | | (2x+4)+(2x+-9)+x=180 | | (w-5)(w-5)=2w^2-6w+28 | | 8+12k-8k-5k= | | x^2-4x-44=3x-6 | | x^2-7x-38=0 | | 8x+34= | | 5y-4=2y+23 | | 9ln(7x)=72 | | 3(-2)=-9y+33 |

Equations solver categories