4(6z-1)-5(z+8)=6(z+1)

Simple and best practice solution for 4(6z-1)-5(z+8)=6(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 4(6z-1)-5(z+8)=6(z+1) equation:


Simplifying
4(6z + -1) + -5(z + 8) = 6(z + 1)

Reorder the terms:
4(-1 + 6z) + -5(z + 8) = 6(z + 1)
(-1 * 4 + 6z * 4) + -5(z + 8) = 6(z + 1)
(-4 + 24z) + -5(z + 8) = 6(z + 1)

Reorder the terms:
-4 + 24z + -5(8 + z) = 6(z + 1)
-4 + 24z + (8 * -5 + z * -5) = 6(z + 1)
-4 + 24z + (-40 + -5z) = 6(z + 1)

Reorder the terms:
-4 + -40 + 24z + -5z = 6(z + 1)

Combine like terms: -4 + -40 = -44
-44 + 24z + -5z = 6(z + 1)

Combine like terms: 24z + -5z = 19z
-44 + 19z = 6(z + 1)

Reorder the terms:
-44 + 19z = 6(1 + z)
-44 + 19z = (1 * 6 + z * 6)
-44 + 19z = (6 + 6z)

Solving
-44 + 19z = 6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-44 + 19z + -6z = 6 + 6z + -6z

Combine like terms: 19z + -6z = 13z
-44 + 13z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-44 + 13z = 6 + 0
-44 + 13z = 6

Add '44' to each side of the equation.
-44 + 44 + 13z = 6 + 44

Combine like terms: -44 + 44 = 0
0 + 13z = 6 + 44
13z = 6 + 44

Combine like terms: 6 + 44 = 50
13z = 50

Divide each side by '13'.
z = 3.846153846

Simplifying
z = 3.846153846

See similar equations:

| (w+1)(w-1)=15 | | 4x-6=(x+1)2 | | 6x-6=(x+3)2 | | 9x^2=-5x+1 | | =4x^5-2x^3-4x^5+100x-7 | | 12x+5y+7y+3x= | | 12-4n=-2n-16 | | x+3x(x)=(x)(x)+24 | | 5p+15(1-p)=10+(-10)(1-p) | | 11h-8-9h=-6 | | 8y^2=2y+1 | | -5p+15(1-p)=-10p+10(1-p) | | 5n+16=3n | | 5f-5t=-4500 | | -5b+4a-4a-9b= | | x(5)+x(6)=55 | | X-24=62 | | w^2-5w+7=0 | | -2p+3(1-p)=2p+(-1)(1-p) | | Q=U+Urt | | 2x+3y+2z=147 | | 2p+(-2)(1-p)=-3p+1(1-p) | | x+x+y+y+y+z+z=147 | | 2p+-3(1-p)=-2p+1(1-p) | | 5x-3=2y+9 | | v(5+v)(v-9)=0 | | -2(3x+1)=2 | | -8+3r=6r-4r | | -6-7n=6-n | | 3-4(-5x+4)=20x+13 | | -6-5a=1-5a | | 1-8r=1-3r |

Equations solver categories