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

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


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

Reorder the terms:
10(4 + z) + -3(z + -2) = 2(z + -4) + 4(z + -4)
(4 * 10 + z * 10) + -3(z + -2) = 2(z + -4) + 4(z + -4)
(40 + 10z) + -3(z + -2) = 2(z + -4) + 4(z + -4)

Reorder the terms:
40 + 10z + -3(-2 + z) = 2(z + -4) + 4(z + -4)
40 + 10z + (-2 * -3 + z * -3) = 2(z + -4) + 4(z + -4)
40 + 10z + (6 + -3z) = 2(z + -4) + 4(z + -4)

Reorder the terms:
40 + 6 + 10z + -3z = 2(z + -4) + 4(z + -4)

Combine like terms: 40 + 6 = 46
46 + 10z + -3z = 2(z + -4) + 4(z + -4)

Combine like terms: 10z + -3z = 7z
46 + 7z = 2(z + -4) + 4(z + -4)

Reorder the terms:
46 + 7z = 2(-4 + z) + 4(z + -4)
46 + 7z = (-4 * 2 + z * 2) + 4(z + -4)
46 + 7z = (-8 + 2z) + 4(z + -4)

Reorder the terms:
46 + 7z = -8 + 2z + 4(-4 + z)
46 + 7z = -8 + 2z + (-4 * 4 + z * 4)
46 + 7z = -8 + 2z + (-16 + 4z)

Reorder the terms:
46 + 7z = -8 + -16 + 2z + 4z

Combine like terms: -8 + -16 = -24
46 + 7z = -24 + 2z + 4z

Combine like terms: 2z + 4z = 6z
46 + 7z = -24 + 6z

Solving
46 + 7z = -24 + 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.
46 + 7z + -6z = -24 + 6z + -6z

Combine like terms: 7z + -6z = 1z
46 + 1z = -24 + 6z + -6z

Combine like terms: 6z + -6z = 0
46 + 1z = -24 + 0
46 + 1z = -24

Add '-46' to each side of the equation.
46 + -46 + 1z = -24 + -46

Combine like terms: 46 + -46 = 0
0 + 1z = -24 + -46
1z = -24 + -46

Combine like terms: -24 + -46 = -70
1z = -70

Divide each side by '1'.
z = -70

Simplifying
z = -70

See similar equations:

| 3a+4a=21 | | 5(2c-1)-2=8c+3 | | -4x-2=-18 | | 3x-15=12x | | 3x-5=12x | | 2-4(x-3)= | | -(7/4w)+(5/3)=-(5w)-(7/4) | | -9x-5=-5 | | 3/35x+9/35=6/35 | | -6x-24=-6(-8x+4) | | 9-3x=-9 | | -(7/4w)+(5/3)=-(5w)-7/4 | | 3x+7x-4x=19+5 | | 4(f-2)=3f-10+f | | -6g+20=-16g+16g | | H/2+h/3=4 | | 10(z+2)-2(z-4)=4(z-2)+3(z-2) | | (-7/4w)+5/3=(-5w-7)/4 | | 10(z+2)-2(z-4)=(z-2)+3(z-2) | | -9x+4=49 | | 12u=8+11u | | 7=-3(23-b)+2(b-2) | | 7+6j=7j | | 2/39x+8/39=8/39 | | -6-9w=3-10w | | 5(6x-5)-7=-3x-32 | | 10c-4+4=-8+2c | | 3/5x-4/5=-9 | | (-7/3x)-4=(2/3x)-(5/4) | | 6s-s-9=7s-9 | | -10x-1=9 | | 7(1-p)=-3(5+3p) |

Equations solver categories