12(z+2)-4(z-3)=3(z-1)+4(z-4)

Simple and best practice solution for 12(z+2)-4(z-3)=3(z-1)+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 12(z+2)-4(z-3)=3(z-1)+4(z-4) equation: 


Simplifying
12(z + 2) + -4(z + -3) = 3(z + -1) + 4(z + -4)

Reorder the terms:
12(2 + z) + -4(z + -3) = 3(z + -1) + 4(z + -4)
(2 * 12 + z * 12) + -4(z + -3) = 3(z + -1) + 4(z + -4)
(24 + 12z) + -4(z + -3) = 3(z + -1) + 4(z + -4)

Reorder the terms:
24 + 12z + -4(-3 + z) = 3(z + -1) + 4(z + -4)
24 + 12z + (-3 * -4 + z * -4) = 3(z + -1) + 4(z + -4)
24 + 12z + (12 + -4z) = 3(z + -1) + 4(z + -4)

Reorder the terms:
24 + 12 + 12z + -4z = 3(z + -1) + 4(z + -4)

Combine like terms: 24 + 12 = 36
36 + 12z + -4z = 3(z + -1) + 4(z + -4)

Combine like terms: 12z + -4z = 8z
36 + 8z = 3(z + -1) + 4(z + -4)

Reorder the terms:
36 + 8z = 3(-1 + z) + 4(z + -4)
36 + 8z = (-1 * 3 + z * 3) + 4(z + -4)
36 + 8z = (-3 + 3z) + 4(z + -4)

Reorder the terms:
36 + 8z = -3 + 3z + 4(-4 + z)
36 + 8z = -3 + 3z + (-4 * 4 + z * 4)
36 + 8z = -3 + 3z + (-16 + 4z)

Reorder the terms:
36 + 8z = -3 + -16 + 3z + 4z

Combine like terms: -3 + -16 = -19
36 + 8z = -19 + 3z + 4z

Combine like terms: 3z + 4z = 7z
36 + 8z = -19 + 7z

Solving
36 + 8z = -19 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
36 + 8z + -7z = -19 + 7z + -7z

Combine like terms: 8z + -7z = 1z
36 + 1z = -19 + 7z + -7z

Combine like terms: 7z + -7z = 0
36 + 1z = -19 + 0
36 + 1z = -19

Add '-36' to each side of the equation.
36 + -36 + 1z = -19 + -36

Combine like terms: 36 + -36 = 0
0 + 1z = -19 + -36
1z = -19 + -36

Combine like terms: -19 + -36 = -55
1z = -55

Divide each side by '1'.
z = -55

Simplifying
z = -55

See similar equations:

| -9q-15=57 | | 4(5x+4)=76 | | -x+5=2x+17 | | Y+(-6)=6 | | 3x-(x-5)=100 | | -16t^2+128+192=0 | | -7h-6=57 | | 0=-2x^2-x+28 | | x^2+(x+5)(x+5)=(x+10)(x+10) | | 20x+265.5=250 | | 6.5=5x | | (x-5)(x+2)=(x-5)(2x-1) | | x^2+(x+6)(x+6)=(x+12)(x+12) | | 2k+k+4=7k | | 5*x-17=4*x+13 | | 1/2(p+5)=7.5 | | s^4+2s+1=0 | | h^2+576=(3h+4)(3h+4) | | 14-9f=-58 | | (26x-2x)(15x-2x)=312 | | 9y-9(7y-4)=126 | | Ln(8x+4)= | | -2[(k-1)(-3)]-[-(-4)]=-(4-2k) | | 2x+27+1x=81 | | 8x^4+24x^3+x+3=8x^4+23x^3-x | | 12z-4z-19z= | | 8x+14=111 | | 18b-9b+15b= | | (3x+1)-(x-5)= | | 4-3(ln)(x)=6 | | x-4-3=x+8 | | 2(4p+8)=112 |

Equations solver categories