10(z+2)-4(z-2)=2(z-4)+3(z-3)

Simple and best practice solution for 10(z+2)-4(z-2)=2(z-4)+3(z-3) 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 10(z+2)-4(z-2)=2(z-4)+3(z-3) equation:


Simplifying
10(z + 2) + -4(z + -2) = 2(z + -4) + 3(z + -3)

Reorder the terms:
10(2 + z) + -4(z + -2) = 2(z + -4) + 3(z + -3)
(2 * 10 + z * 10) + -4(z + -2) = 2(z + -4) + 3(z + -3)
(20 + 10z) + -4(z + -2) = 2(z + -4) + 3(z + -3)

Reorder the terms:
20 + 10z + -4(-2 + z) = 2(z + -4) + 3(z + -3)
20 + 10z + (-2 * -4 + z * -4) = 2(z + -4) + 3(z + -3)
20 + 10z + (8 + -4z) = 2(z + -4) + 3(z + -3)

Reorder the terms:
20 + 8 + 10z + -4z = 2(z + -4) + 3(z + -3)

Combine like terms: 20 + 8 = 28
28 + 10z + -4z = 2(z + -4) + 3(z + -3)

Combine like terms: 10z + -4z = 6z
28 + 6z = 2(z + -4) + 3(z + -3)

Reorder the terms:
28 + 6z = 2(-4 + z) + 3(z + -3)
28 + 6z = (-4 * 2 + z * 2) + 3(z + -3)
28 + 6z = (-8 + 2z) + 3(z + -3)

Reorder the terms:
28 + 6z = -8 + 2z + 3(-3 + z)
28 + 6z = -8 + 2z + (-3 * 3 + z * 3)
28 + 6z = -8 + 2z + (-9 + 3z)

Reorder the terms:
28 + 6z = -8 + -9 + 2z + 3z

Combine like terms: -8 + -9 = -17
28 + 6z = -17 + 2z + 3z

Combine like terms: 2z + 3z = 5z
28 + 6z = -17 + 5z

Solving
28 + 6z = -17 + 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.
28 + 6z + -5z = -17 + 5z + -5z

Combine like terms: 6z + -5z = 1z
28 + 1z = -17 + 5z + -5z

Combine like terms: 5z + -5z = 0
28 + 1z = -17 + 0
28 + 1z = -17

Add '-28' to each side of the equation.
28 + -28 + 1z = -17 + -28

Combine like terms: 28 + -28 = 0
0 + 1z = -17 + -28
1z = -17 + -28

Combine like terms: -17 + -28 = -45
1z = -45

Divide each side by '1'.
z = -45

Simplifying
z = -45

See similar equations:

| 5x-8=x+1 | | 2ab*2ac= | | 9(z+3)-4(z-1)=2(z-4)+2(z-4) | | 2ab*2bc= | | 2ac*2bc= | | x-3x-2=5x+12 | | 5(2w-3)-4(3w+7)=17 | | 3(p-3)-5=-3p-6 | | 3x+5=-2x-20 | | 5(3x-7)-6=5(x-3)+34 | | 8x+3y=21 | | 8+2(x+1)=4 | | s=10t-5t^2 | | 9-4(x-3)-5=9+2(4-2x)-16 | | 9a-16=5a-16 | | 2-1y-y=4 | | -4(2-x)+2=4x-10 | | 5(1-x)+10(2-2x)=15-20x | | -3n+10n=-11+6n | | 4n-5=11n+2 | | 6+7k+3k=36 | | 6y=3x+9 | | 92-(5x+13)=5(x+7)+x | | 4(x)=180-x | | 4M+30S+12L=456000 | | 2(2w+7)=46 | | 5(x-6)+4=7(x-2)-10 | | 6(6-2y)+12y=42 | | 2x/3-4=1x/3 | | 6+5z=-2z-8 | | 6(3x-9)-5=6(x-2)+25 | | 4(m-3)=-12 |

Equations solver categories