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

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


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

Reorder the terms:
5(-1 + 4z) + -4(z + 4) = 8(z + 1)
(-1 * 5 + 4z * 5) + -4(z + 4) = 8(z + 1)
(-5 + 20z) + -4(z + 4) = 8(z + 1)

Reorder the terms:
-5 + 20z + -4(4 + z) = 8(z + 1)
-5 + 20z + (4 * -4 + z * -4) = 8(z + 1)
-5 + 20z + (-16 + -4z) = 8(z + 1)

Reorder the terms:
-5 + -16 + 20z + -4z = 8(z + 1)

Combine like terms: -5 + -16 = -21
-21 + 20z + -4z = 8(z + 1)

Combine like terms: 20z + -4z = 16z
-21 + 16z = 8(z + 1)

Reorder the terms:
-21 + 16z = 8(1 + z)
-21 + 16z = (1 * 8 + z * 8)
-21 + 16z = (8 + 8z)

Solving
-21 + 16z = 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.
-21 + 16z + -8z = 8 + 8z + -8z

Combine like terms: 16z + -8z = 8z
-21 + 8z = 8 + 8z + -8z

Combine like terms: 8z + -8z = 0
-21 + 8z = 8 + 0
-21 + 8z = 8

Add '21' to each side of the equation.
-21 + 21 + 8z = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 8z = 8 + 21
8z = 8 + 21

Combine like terms: 8 + 21 = 29
8z = 29

Divide each side by '8'.
z = 3.625

Simplifying
z = 3.625

See similar equations:

| 4m-4-8=-2m+12 | | 1+22x/3=8x/3-4(-8x/3-1/2) | | X(3x+5)=390 | | 5+7q=6+6q | | 8w-21=-9(w+8) | | 3(2x-8)=30 | | (2x-5)*(2x+4)=0 | | -215+e+(-43)=45 | | -5x-5(x+6)=3x+9 | | 5(y-4)=6y+2 | | 3w+5=41 | | 3x+10=2x-12 | | 14.6=42x+2(-9x+3.3) | | [(x)(x)]-8x=-12 | | (-7i)(3i)= | | 8+r/9=13 | | 0.08r=5 | | 5x-2=8 | | 6x-x-12=0 | | u=54 | | -7/2+29x/4=x/4+1/2(8x-1) | | 2(6t-1)-3(3t-4)= | | (x-5)(x+6)(x-1)=0 | | -(6y+8p-7)= | | [(x)(x)]=9x | | 9(4n-6)= | | -5x-14=6x+19 | | 8(3y-2)=4(7y-1) | | 3(-2)+7=-2-1 | | d-2.7=1.4 | | 36-5a=1 | | 5a^2-6a+7a^2+3a-2+8a+7= |

Equations solver categories