4(3Z-1)-5(Z+4)=5(Z+1)

Simple and best practice solution for 4(3Z-1)-5(Z+4)=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(3Z-1)-5(Z+4)=5(Z+1) equation:


Simplifying
4(3Z + -1) + -5(Z + 4) = 5(Z + 1)

Reorder the terms:
4(-1 + 3Z) + -5(Z + 4) = 5(Z + 1)
(-1 * 4 + 3Z * 4) + -5(Z + 4) = 5(Z + 1)
(-4 + 12Z) + -5(Z + 4) = 5(Z + 1)

Reorder the terms:
-4 + 12Z + -5(4 + Z) = 5(Z + 1)
-4 + 12Z + (4 * -5 + Z * -5) = 5(Z + 1)
-4 + 12Z + (-20 + -5Z) = 5(Z + 1)

Reorder the terms:
-4 + -20 + 12Z + -5Z = 5(Z + 1)

Combine like terms: -4 + -20 = -24
-24 + 12Z + -5Z = 5(Z + 1)

Combine like terms: 12Z + -5Z = 7Z
-24 + 7Z = 5(Z + 1)

Reorder the terms:
-24 + 7Z = 5(1 + Z)
-24 + 7Z = (1 * 5 + Z * 5)
-24 + 7Z = (5 + 5Z)

Solving
-24 + 7Z = 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.
-24 + 7Z + -5Z = 5 + 5Z + -5Z

Combine like terms: 7Z + -5Z = 2Z
-24 + 2Z = 5 + 5Z + -5Z

Combine like terms: 5Z + -5Z = 0
-24 + 2Z = 5 + 0
-24 + 2Z = 5

Add '24' to each side of the equation.
-24 + 24 + 2Z = 5 + 24

Combine like terms: -24 + 24 = 0
0 + 2Z = 5 + 24
2Z = 5 + 24

Combine like terms: 5 + 24 = 29
2Z = 29

Divide each side by '2'.
Z = 14.5

Simplifying
Z = 14.5

See similar equations:

| 2/3=1/9(27) | | -27a-42=a+98 | | T/0.16=0.5/0.4 | | 110=7p-8(2-7p) | | 4(5x-4)=4x+17 | | -3-8=-9+6 | | 162=-6(1-7x) | | 19/11=q/15 | | C+212=-5c-28 | | 6s-8=1+5s | | 8(7n-4)=-480 | | 4x+3(x-9)=4(x-6) | | 7/13=n/11 | | 21x+y=9x+9y | | 133=-7(1+4m) | | 10-18(-10+4v)=99+19v | | 6+5c=3c | | N+-832=-24n+-7 | | 8(1-7n)=-328 | | M/7=-16 | | -6-11(p-2)=2(1-5p)-10 | | N-832=-24n-7 | | -424=2n+8(1-7n) | | 4(x-10)=8(x+5) | | 10x(x-15)=-70 | | 72=2l+2(14) | | 2g=84 | | r+8=-10-2R | | -4+-12x=-48-8x | | 11x+17x-8+1=2x+1-8 | | -10-19k=20(k-18)-14k | | -9-2m=-m |

Equations solver categories