4(5z-1)-2(z+8)=5(z+1)

Simple and best practice solution for 4(5z-1)-2(z+8)=5(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(5z-1)-2(z+8)=5(z+1) equation:


Simplifying
4(5z + -1) + -2(z + 8) = 5(z + 1)

Reorder the terms:
4(-1 + 5z) + -2(z + 8) = 5(z + 1)
(-1 * 4 + 5z * 4) + -2(z + 8) = 5(z + 1)
(-4 + 20z) + -2(z + 8) = 5(z + 1)

Reorder the terms:
-4 + 20z + -2(8 + z) = 5(z + 1)
-4 + 20z + (8 * -2 + z * -2) = 5(z + 1)
-4 + 20z + (-16 + -2z) = 5(z + 1)

Reorder the terms:
-4 + -16 + 20z + -2z = 5(z + 1)

Combine like terms: -4 + -16 = -20
-20 + 20z + -2z = 5(z + 1)

Combine like terms: 20z + -2z = 18z
-20 + 18z = 5(z + 1)

Reorder the terms:
-20 + 18z = 5(1 + z)
-20 + 18z = (1 * 5 + z * 5)
-20 + 18z = (5 + 5z)

Solving
-20 + 18z = 5 + 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.
-20 + 18z + -5z = 5 + 5z + -5z

Combine like terms: 18z + -5z = 13z
-20 + 13z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-20 + 13z = 5 + 0
-20 + 13z = 5

Add '20' to each side of the equation.
-20 + 20 + 13z = 5 + 20

Combine like terms: -20 + 20 = 0
0 + 13z = 5 + 20
13z = 5 + 20

Combine like terms: 5 + 20 = 25
13z = 25

Divide each side by '13'.
z = 1.923076923

Simplifying
z = 1.923076923

See similar equations:

| -7x+72=5x | | g(a^2)=5(a^2)-8(a^2) | | -9k-10=-118 | | -9k-10=-188 | | f(-6)=-60+3(36) | | x/6-7=-8 | | -59=-3-4v | | 4+8(x-5)=7-4(x-1) | | 2lnt(x+2)=4 | | -5x^3+25x^2-30x=0 | | -5(5n+1)=4 | | f(-6)=10x+3x^2 | | 30=a+20 | | 2In(x+2)=4 | | h(x)=2x^2+4x+11 | | y+3y+120=180 | | y+3x+120=180 | | -5=9(2-2y)+13 | | 5t+5=30 | | z^3=-j | | 5p-21=24 | | 2x+2xy+2y= | | In(3x)+in(2x)=9 | | x*2+1=5 | | 2(4x-1)=99-7(3-4x) | | -6(-1x+5)=-12 | | 3(6+7x)=18 | | -4(2x-2)=48 | | P-10=5(2w-4) | | -6(6+5x)=144 | | (t^2)-25t-12.5=0 | | -6(6+5x)=18 |

Equations solver categories