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

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


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

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

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

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

Combine like terms: -5 + -8 = -13
-13 + 20z + -2z = 2(z + 1)

Combine like terms: 20z + -2z = 18z
-13 + 18z = 2(z + 1)

Reorder the terms:
-13 + 18z = 2(1 + z)
-13 + 18z = (1 * 2 + z * 2)
-13 + 18z = (2 + 2z)

Solving
-13 + 18z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-13 + 18z + -2z = 2 + 2z + -2z

Combine like terms: 18z + -2z = 16z
-13 + 16z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-13 + 16z = 2 + 0
-13 + 16z = 2

Add '13' to each side of the equation.
-13 + 13 + 16z = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 16z = 2 + 13
16z = 2 + 13

Combine like terms: 2 + 13 = 15
16z = 15

Divide each side by '16'.
z = 0.9375

Simplifying
z = 0.9375

See similar equations:

| 3n^2+24n-84=0 | | 4x^2-6x+11=0 | | 2x+19=3x-21 | | (2.5(x^2))-20x+2=0 | | 3(4z-1)-3(z+6)=2(z+1) | | (-c^4+2c^3+7c)+(2c^4+c^3-5c^3-5c^2+2c)= | | x^2-5x+13=0 | | x^3(x+4)+9(x+4)= | | 5x-12=6-x | | 4x+7y+5z=-17 | | 9x^5-4x^3+2x^2= | | 5y=9-2y+2 | | 6x^7-19x^5+8x^4= | | 15x-15x= | | -2(6x-5)+4=-12x+14 | | -21=7a | | abs(-8x)=24 | | =3x^2-5x-2 | | =8x^2+6x-9 | | 1.2(0.1-x)=2.4*(0.02*x+2) | | 0.8*(0.1*x-2)=-0.04*(x+20) | | 3+10x+4x=5x+13+4x | | 1.6*(x-2)=3.2(x+2) | | x-4x+5=14 | | 0.02*x-0.04=0.32*(x+4) | | 1.1x+5.6=3.4 | | =(x+4)(x+4)(x+4) | | 7x+5=-9+5x | | 4a+6= | | 2.75x-15=5-1.25x | | .75x-2=7 | | 8x+5y=1500 |

Equations solver categories