-6(z+1)+3(4z-7)=5(z-6)+12

Simple and best practice solution for -6(z+1)+3(4z-7)=5(z-6)+12 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(z+1)+3(4z-7)=5(z-6)+12 equation: 


Simplifying
-6(z + 1) + 3(4z + -7) = 5(z + -6) + 12

Reorder the terms:
-6(1 + z) + 3(4z + -7) = 5(z + -6) + 12
(1 * -6 + z * -6) + 3(4z + -7) = 5(z + -6) + 12
(-6 + -6z) + 3(4z + -7) = 5(z + -6) + 12

Reorder the terms:
-6 + -6z + 3(-7 + 4z) = 5(z + -6) + 12
-6 + -6z + (-7 * 3 + 4z * 3) = 5(z + -6) + 12
-6 + -6z + (-21 + 12z) = 5(z + -6) + 12

Reorder the terms:
-6 + -21 + -6z + 12z = 5(z + -6) + 12

Combine like terms: -6 + -21 = -27
-27 + -6z + 12z = 5(z + -6) + 12

Combine like terms: -6z + 12z = 6z
-27 + 6z = 5(z + -6) + 12

Reorder the terms:
-27 + 6z = 5(-6 + z) + 12
-27 + 6z = (-6 * 5 + z * 5) + 12
-27 + 6z = (-30 + 5z) + 12

Reorder the terms:
-27 + 6z = -30 + 12 + 5z

Combine like terms: -30 + 12 = -18
-27 + 6z = -18 + 5z

Solving
-27 + 6z = -18 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-27 + 6z + -5z = -18 + 5z + -5z

Combine like terms: 6z + -5z = 1z
-27 + 1z = -18 + 5z + -5z

Combine like terms: 5z + -5z = 0
-27 + 1z = -18 + 0
-27 + 1z = -18

Add '27' to each side of the equation.
-27 + 27 + 1z = -18 + 27

Combine like terms: -27 + 27 = 0
0 + 1z = -18 + 27
1z = -18 + 27

Combine like terms: -18 + 27 = 9
1z = 9

Divide each side by '1'.
z = 9

Simplifying
z = 9

See similar equations:

| 4x-5=8+6x | | t^2+20t+64=0 | | 4y-19=16+11 | | 20+5.50h=11+6.75h | | 5-3x=4x+1 | | x+1.4+3x-0.4+2x+0.1=180 | | A/-5=3 | | 6x+6+3x+6+x+6=118 | | 48+12=96 | | 1.5d+7.25=5+2.25d | | a25cf9242ad73179e927a2ebe5c118d9/CC3_5_49_b.png | | https://homeworkcontent.cpm.org/CPM/CC/CC3/Ch5/5-49/a25cf9242ad73179e927a2ebe5c118d9/CC3_5_49_b.png | | c(x)=40-0.1 | | .5(5x-6)=3x | | .5(8x-4)=3x-9 | | y=3.6x+5x | | c(x)=40-0.1(12000) | | -4(x+3)+5=15 | | 8=5x-22 | | 8y-x=40 | | (n^2)-n=6 | | (x+4y^2x)dy+2ydx=0 | | 95+77+2x=360 | | 93+79+2x=360 | | 42=3(4r+2) | | f(x)=1/(1-2sinx) | | m^6n^6/m-^4n^8 | | 4-3a/4=4 | | m^6n^6/m-^4n8 | | 8((x)+(x+2)+(x+4))=210+(10(x+2)) | | 8x+6x-80=60-6x | | 2x^3-24x^2+104x-168=0 |

Equations solver categories