3(6z-1)-2(z+3)=7(z+1)

Simple and best practice solution for 3(6z-1)-2(z+3)=7(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 3(6z-1)-2(z+3)=7(z+1) equation:


Simplifying
3(6z + -1) + -2(z + 3) = 7(z + 1)

Reorder the terms:
3(-1 + 6z) + -2(z + 3) = 7(z + 1)
(-1 * 3 + 6z * 3) + -2(z + 3) = 7(z + 1)
(-3 + 18z) + -2(z + 3) = 7(z + 1)

Reorder the terms:
-3 + 18z + -2(3 + z) = 7(z + 1)
-3 + 18z + (3 * -2 + z * -2) = 7(z + 1)
-3 + 18z + (-6 + -2z) = 7(z + 1)

Reorder the terms:
-3 + -6 + 18z + -2z = 7(z + 1)

Combine like terms: -3 + -6 = -9
-9 + 18z + -2z = 7(z + 1)

Combine like terms: 18z + -2z = 16z
-9 + 16z = 7(z + 1)

Reorder the terms:
-9 + 16z = 7(1 + z)
-9 + 16z = (1 * 7 + z * 7)
-9 + 16z = (7 + 7z)

Solving
-9 + 16z = 7 + 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.
-9 + 16z + -7z = 7 + 7z + -7z

Combine like terms: 16z + -7z = 9z
-9 + 9z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-9 + 9z = 7 + 0
-9 + 9z = 7

Add '9' to each side of the equation.
-9 + 9 + 9z = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 9z = 7 + 9
9z = 7 + 9

Combine like terms: 7 + 9 = 16
9z = 16

Divide each side by '9'.
z = 1.777777778

Simplifying
z = 1.777777778

See similar equations:

| x^2+20x=-22 | | 75.39+b+41.1=-28.946 | | x-5=-1+7 | | x^3-18x^2+80x-96=0 | | 3X=6x+18 | | 2(3x-4)=7x | | 16z=16z+16 | | 8g^3-2g^2=2g^3-5g^2 | | 71+6y-29=17y-14-3y | | m^2=10m-15 | | m^2=10m-5 | | 5(5(4z-19)+z-4)-z=24 | | x(x+29)+2(x+x+29)=369 | | 60+3x=8x | | 829197-x=999999999999 | | A=Mx+B | | 73=5x-22 | | 2x^2+5=13 | | x-(x*.125)=1500 | | x+(x+10)+4(x+10)=570 | | 10(2x)=x-3(6x+4) | | -5-2x=-6x | | 5b^2-20b=b^2 | | 6+-2y+-1y=12 | | 8p-12=4(2p-12) | | 2p=0 | | x+4-8=-2(x+5)+5(8+4x) | | X^2-8x+16+y^2+2y+4=25 | | 6x^2-4=0 | | 9x+7=17-3x | | 3+10=18 | | 3+1o=18 |

Equations solver categories