3(6z-1)-5(z+5)=8(z+1)

Simple and best practice solution for 3(6z-1)-5(z+5)=8(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)-5(z+5)=8(z+1) equation:


Simplifying
3(6z + -1) + -5(z + 5) = 8(z + 1)

Reorder the terms:
3(-1 + 6z) + -5(z + 5) = 8(z + 1)
(-1 * 3 + 6z * 3) + -5(z + 5) = 8(z + 1)
(-3 + 18z) + -5(z + 5) = 8(z + 1)

Reorder the terms:
-3 + 18z + -5(5 + z) = 8(z + 1)
-3 + 18z + (5 * -5 + z * -5) = 8(z + 1)
-3 + 18z + (-25 + -5z) = 8(z + 1)

Reorder the terms:
-3 + -25 + 18z + -5z = 8(z + 1)

Combine like terms: -3 + -25 = -28
-28 + 18z + -5z = 8(z + 1)

Combine like terms: 18z + -5z = 13z
-28 + 13z = 8(z + 1)

Reorder the terms:
-28 + 13z = 8(1 + z)
-28 + 13z = (1 * 8 + z * 8)
-28 + 13z = (8 + 8z)

Solving
-28 + 13z = 8 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-28 + 13z + -8z = 8 + 8z + -8z

Combine like terms: 13z + -8z = 5z
-28 + 5z = 8 + 8z + -8z

Combine like terms: 8z + -8z = 0
-28 + 5z = 8 + 0
-28 + 5z = 8

Add '28' to each side of the equation.
-28 + 28 + 5z = 8 + 28

Combine like terms: -28 + 28 = 0
0 + 5z = 8 + 28
5z = 8 + 28

Combine like terms: 8 + 28 = 36
5z = 36

Divide each side by '5'.
z = 7.2

Simplifying
z = 7.2

See similar equations:

| 52x-1=32-4 | | 9(a+1)=3[a-(2-a)] | | 3n^2-4n-1=0 | | .2n-.03+.3n=.5+n | | 2+3x-14=7x-8-2x | | x^2+16=x+4 | | -6(5x-2y+4)= | | 3x^4+15x^3=0 | | 4y(2y+1)=4 | | 4(3x-1)-3(x+2)=7x+6 | | -7(3x-5y+4)= | | c^2+9=0 | | V^2+10v+24=0 | | 3w^2+13w=10 | | 0=V^2+10v+24 | | 22t-6t^2=-8 | | -7(3x-4y+5)= | | f(v)=v^2+10v+24 | | 12x+45=120 | | 5(9+6(y-1))+7= | | 4(x-2)=36 | | 7-(x-10)+3x= | | 6*n^2-18n-18=6 | | -7(4x-2y+5)= | | (2a+2b)(2a+2b)= | | k^2=-4k-15 | | -4(5y-2y+6)= | | 3x-4x+2x-4+5x= | | 4x^3-16x^2+3x-2=0 | | 3x-5x+2x-3+4x= | | 3(n-10)-5(n+12)= | | x^2+99-100=0 |

Equations solver categories