10(z+3)-3(z-1)=3(z-4)+3(z-1)

Simple and best practice solution for 10(z+3)-3(z-1)=3(z-4)+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 10(z+3)-3(z-1)=3(z-4)+3(z-1) equation: 


Simplifying
10(z + 3) + -3(z + -1) = 3(z + -4) + 3(z + -1)

Reorder the terms:
10(3 + z) + -3(z + -1) = 3(z + -4) + 3(z + -1)
(3 * 10 + z * 10) + -3(z + -1) = 3(z + -4) + 3(z + -1)
(30 + 10z) + -3(z + -1) = 3(z + -4) + 3(z + -1)

Reorder the terms:
30 + 10z + -3(-1 + z) = 3(z + -4) + 3(z + -1)
30 + 10z + (-1 * -3 + z * -3) = 3(z + -4) + 3(z + -1)
30 + 10z + (3 + -3z) = 3(z + -4) + 3(z + -1)

Reorder the terms:
30 + 3 + 10z + -3z = 3(z + -4) + 3(z + -1)

Combine like terms: 30 + 3 = 33
33 + 10z + -3z = 3(z + -4) + 3(z + -1)

Combine like terms: 10z + -3z = 7z
33 + 7z = 3(z + -4) + 3(z + -1)

Reorder the terms:
33 + 7z = 3(-4 + z) + 3(z + -1)
33 + 7z = (-4 * 3 + z * 3) + 3(z + -1)
33 + 7z = (-12 + 3z) + 3(z + -1)

Reorder the terms:
33 + 7z = -12 + 3z + 3(-1 + z)
33 + 7z = -12 + 3z + (-1 * 3 + z * 3)
33 + 7z = -12 + 3z + (-3 + 3z)

Reorder the terms:
33 + 7z = -12 + -3 + 3z + 3z

Combine like terms: -12 + -3 = -15
33 + 7z = -15 + 3z + 3z

Combine like terms: 3z + 3z = 6z
33 + 7z = -15 + 6z

Solving
33 + 7z = -15 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
33 + 7z + -6z = -15 + 6z + -6z

Combine like terms: 7z + -6z = 1z
33 + 1z = -15 + 6z + -6z

Combine like terms: 6z + -6z = 0
33 + 1z = -15 + 0
33 + 1z = -15

Add '-33' to each side of the equation.
33 + -33 + 1z = -15 + -33

Combine like terms: 33 + -33 = 0
0 + 1z = -15 + -33
1z = -15 + -33

Combine like terms: -15 + -33 = -48
1z = -48

Divide each side by '1'.
z = -48

Simplifying
z = -48

See similar equations:

| -3-(-1+x)=3-(-x+1) | | -2b+9-6b=-18 | | A+1.38=2.54 | | 30.3+40.8+m=180 | | -(1+3x)+-6(-7+x)=48 | | -3(8d+7)=-15 | | 6x-forx=5 | | F(-4)=2x^2-1 | | -1.5t+2.5=-1.5-3.5t | | 3.30(32.50t)+5.90=220.70 | | 5z-6=4z+2 | | 12x+15+5x+29=180 | | x+3-4=51-4 | | f(x)=24x-72 | | -5(8+9k)=-32 | | 45p-5+p= | | 100[0.09(n+7)]= | | 6m-4=2m+6 | | N-20=2n-10 | | 64-y=13 | | 8-8x=4x | | -x^2+19-60=0 | | 6n=162 | | 4(1-8r)=-20 | | 2x-50+24+142=180 | | 2*5x=20 | | 8(6v+5)=-22+9v | | px^2+qx+b=0 | | 2p-9=41 | | 241-22=-4(1-6a) | | 4b+16+26= | | 5-6z=35 |

Equations solver categories