6(2z-1)-3(z+8)=2(z+1)

Simple and best practice solution for 6(2z-1)-3(z+8)=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 6(2z-1)-3(z+8)=2(z+1) equation:


Simplifying
6(2z + -1) + -3(z + 8) = 2(z + 1)

Reorder the terms:
6(-1 + 2z) + -3(z + 8) = 2(z + 1)
(-1 * 6 + 2z * 6) + -3(z + 8) = 2(z + 1)
(-6 + 12z) + -3(z + 8) = 2(z + 1)

Reorder the terms:
-6 + 12z + -3(8 + z) = 2(z + 1)
-6 + 12z + (8 * -3 + z * -3) = 2(z + 1)
-6 + 12z + (-24 + -3z) = 2(z + 1)

Reorder the terms:
-6 + -24 + 12z + -3z = 2(z + 1)

Combine like terms: -6 + -24 = -30
-30 + 12z + -3z = 2(z + 1)

Combine like terms: 12z + -3z = 9z
-30 + 9z = 2(z + 1)

Reorder the terms:
-30 + 9z = 2(1 + z)
-30 + 9z = (1 * 2 + z * 2)
-30 + 9z = (2 + 2z)

Solving
-30 + 9z = 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.
-30 + 9z + -2z = 2 + 2z + -2z

Combine like terms: 9z + -2z = 7z
-30 + 7z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-30 + 7z = 2 + 0
-30 + 7z = 2

Add '30' to each side of the equation.
-30 + 30 + 7z = 2 + 30

Combine like terms: -30 + 30 = 0
0 + 7z = 2 + 30
7z = 2 + 30

Combine like terms: 2 + 30 = 32
7z = 32

Divide each side by '7'.
z = 4.571428571

Simplifying
z = 4.571428571

See similar equations:

| 5x+7=4(x+4)-4 | | a^2+8a=20 | | 2(X+3)=3(7X-5) | | a^2-36=0 | | 2(y-4)-7y=37 | | 2x+2x=32 | | 0.3-0.06= | | 5y-6= | | 10(x-5)-8=21x-146 | | (5x-2)(3x+4)=-12 | | 4x^2+3y= | | x^2-6x=-6 | | 3(2a+7)-4a= | | 2(x-y)+3(2y-3y)= | | 8(x-3)-12=24x-196 | | 7(x-5)(x-5)=35 | | 16x^2=30 | | (6x-10)+(3x+3)+(3x-1)+(4x-16)=360 | | 4.20-(1.70+.05x)=0 | | 8x^2-15=0 | | -3+8(x-1)=15x+5-7x | | -3(2X+5)=-6(2X-12) | | 7x^2+1=25 | | 2x^2+12x-133=0 | | S=180(111-2) | | b-8=0 | | 3x^2-5=-113 | | (7x+1)+(2(0)+74)=180 | | 3(x-2)+4(x-1)=7(x+2)-2(x-3) | | (7(15-.2857142857y)+1)+(2y+74)=180 | | 3(4x-2)=4(3x+5) | | (7x+1)+(2y+74)=180 |

Equations solver categories