3(4Z-1)-4(Z+8)=3(Z+1)

Simple and best practice solution for 3(4Z-1)-4(Z+8)=3(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 3(4Z-1)-4(Z+8)=3(Z+1) equation:


Simplifying
3(4Z + -1) + -4(Z + 8) = 3(Z + 1)

Reorder the terms:
3(-1 + 4Z) + -4(Z + 8) = 3(Z + 1)
(-1 * 3 + 4Z * 3) + -4(Z + 8) = 3(Z + 1)
(-3 + 12Z) + -4(Z + 8) = 3(Z + 1)

Reorder the terms:
-3 + 12Z + -4(8 + Z) = 3(Z + 1)
-3 + 12Z + (8 * -4 + Z * -4) = 3(Z + 1)
-3 + 12Z + (-32 + -4Z) = 3(Z + 1)

Reorder the terms:
-3 + -32 + 12Z + -4Z = 3(Z + 1)

Combine like terms: -3 + -32 = -35
-35 + 12Z + -4Z = 3(Z + 1)

Combine like terms: 12Z + -4Z = 8Z
-35 + 8Z = 3(Z + 1)

Reorder the terms:
-35 + 8Z = 3(1 + Z)
-35 + 8Z = (1 * 3 + Z * 3)
-35 + 8Z = (3 + 3Z)

Solving
-35 + 8Z = 3 + 3Z

Solving for variable 'Z'.

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

Add '-3Z' to each side of the equation.
-35 + 8Z + -3Z = 3 + 3Z + -3Z

Combine like terms: 8Z + -3Z = 5Z
-35 + 5Z = 3 + 3Z + -3Z

Combine like terms: 3Z + -3Z = 0
-35 + 5Z = 3 + 0
-35 + 5Z = 3

Add '35' to each side of the equation.
-35 + 35 + 5Z = 3 + 35

Combine like terms: -35 + 35 = 0
0 + 5Z = 3 + 35
5Z = 3 + 35

Combine like terms: 3 + 35 = 38
5Z = 38

Divide each side by '5'.
Z = 7.6

Simplifying
Z = 7.6

 

You can always share this solution

See similar equations:

| -3(3b+3)+(10b-4)=0 | | 4m/9+13-1m=4 | | 5u^2-17u= | | 6x+14=22 | | 17=2x+5 | | X+((x*2)+2)=14 | | 16x^2-4x=0 | | 3u^2+u-4=0 | | 35p+20+8=70 | | 9-14x=8+6 | | 7-6x=4-6x | | 6(x-1)+7=2x+4(-1+x) | | 0.16(y-7)+0.06y=0.20y-1.2 | | (-1/9)b=-12 | | 0.16(y-7)+0.064=0.20y-1.2 | | 4x-6=3+7x | | 1/20(h)=-6 | | 11x^2-122x+11=0 | | 17=-z+3 | | 14x-30=4x | | 2w^2-4w-1=0 | | 9.2x=22.08 | | 8x-3=23-5x | | 50+20=2u-7u | | 10x-16=6x | | -3p=-15 | | 685y-85=2y | | 20n+10n=4 | | 7a^2=-65-18 | | 2y=685+-85 | | 2x^2-5x-20=x^2-9x+1 | | 2.25-0.50x=0.375x+0.50 | | 9.9x=39.6 | | 2y+-685=85 | | n(n^2-7n-1)+7=0 | | -(-9x)=(-53) | | 5y+8=4y+1 | | 2c-21=3-4c | | 6x^2-22x+14=0 | | 6x^2=19x-15 | | 2y+685=85 | | n^2-7n-1=0 | | 6x^2+73x+12=0 | | 7x+2=8x | | 2y+685=-85 | | 12t^2-23t-24=0 | | 12t^2-23x-24=0 | | 6x=5x-6 | | 1.14y-2=y+1.64 | | 18b+15b=33 | | (n^3-7n^2-n)+7=0 | | 4x+4=5x | | x^2-10x+10=-20 | | 2x^3+15x^2-84x+17= | | 12=t+14 | | 6.75+c=12.95 | | 9x^2*42x+49=0 | | 16m^4-81m^2=0 | | 20x^2+17x-24=0 | | (3x)2=(5x+12) | | log^5(x+7)=2 | | x-3.2=4.1 | | -6x+9=5x-2 | | 81x^3=100x | | -4p-13=3+4p |

Equations solver categories