(2z-1)*6-(z+4)*4=(z-5)*8+(z+9)*3

Simple and best practice solution for (2z-1)*6-(z+4)*4=(z-5)*8+(z+9)*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 (2z-1)*6-(z+4)*4=(z-5)*8+(z+9)*3 equation:


Simplifying
(2z + -1) * 6 + -1(z + 4) * 4 = (z + -5) * 8 + (z + 9) * 3

Reorder the terms:
(-1 + 2z) * 6 + -1(z + 4) * 4 = (z + -5) * 8 + (z + 9) * 3

Reorder the terms for easier multiplication:
6(-1 + 2z) + -1(z + 4) * 4 = (z + -5) * 8 + (z + 9) * 3
(-1 * 6 + 2z * 6) + -1(z + 4) * 4 = (z + -5) * 8 + (z + 9) * 3
(-6 + 12z) + -1(z + 4) * 4 = (z + -5) * 8 + (z + 9) * 3

Reorder the terms:
-6 + 12z + -1(4 + z) * 4 = (z + -5) * 8 + (z + 9) * 3

Reorder the terms for easier multiplication:
-6 + 12z + -1 * 4(4 + z) = (z + -5) * 8 + (z + 9) * 3

Multiply -1 * 4
-6 + 12z + -4(4 + z) = (z + -5) * 8 + (z + 9) * 3
-6 + 12z + (4 * -4 + z * -4) = (z + -5) * 8 + (z + 9) * 3
-6 + 12z + (-16 + -4z) = (z + -5) * 8 + (z + 9) * 3

Reorder the terms:
-6 + -16 + 12z + -4z = (z + -5) * 8 + (z + 9) * 3

Combine like terms: -6 + -16 = -22
-22 + 12z + -4z = (z + -5) * 8 + (z + 9) * 3

Combine like terms: 12z + -4z = 8z
-22 + 8z = (z + -5) * 8 + (z + 9) * 3

Reorder the terms:
-22 + 8z = (-5 + z) * 8 + (z + 9) * 3

Reorder the terms for easier multiplication:
-22 + 8z = 8(-5 + z) + (z + 9) * 3
-22 + 8z = (-5 * 8 + z * 8) + (z + 9) * 3
-22 + 8z = (-40 + 8z) + (z + 9) * 3

Reorder the terms:
-22 + 8z = -40 + 8z + (9 + z) * 3

Reorder the terms for easier multiplication:
-22 + 8z = -40 + 8z + 3(9 + z)
-22 + 8z = -40 + 8z + (9 * 3 + z * 3)
-22 + 8z = -40 + 8z + (27 + 3z)

Reorder the terms:
-22 + 8z = -40 + 27 + 8z + 3z

Combine like terms: -40 + 27 = -13
-22 + 8z = -13 + 8z + 3z

Combine like terms: 8z + 3z = 11z
-22 + 8z = -13 + 11z

Solving
-22 + 8z = -13 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
-22 + 8z + -11z = -13 + 11z + -11z

Combine like terms: 8z + -11z = -3z
-22 + -3z = -13 + 11z + -11z

Combine like terms: 11z + -11z = 0
-22 + -3z = -13 + 0
-22 + -3z = -13

Add '22' to each side of the equation.
-22 + 22 + -3z = -13 + 22

Combine like terms: -22 + 22 = 0
0 + -3z = -13 + 22
-3z = -13 + 22

Combine like terms: -13 + 22 = 9
-3z = 9

Divide each side by '-3'.
z = -3

Simplifying
z = -3

See similar equations:

| 35-15=5(x-1) | | (2y+1)(2x+1)=20090 | | 8y+4x=360 | | (2x+1)=20090 | | 96-2x^2=0 | | 2y-3=-15 | | 2y-3=15 | | 96-2x=0 | | (2x+1)=499 | | (2x+1)=500 | | (2x+1)=999 | | x/3=42 | | (2x+1)=1000 | | 2x-8=4+6x-7-4x | | 65+5y-26=15y-9-2y | | (2x+1)=5021 | | 2(6x-5)=-45+6 | | (2x+1)=5022 | | -2(b+5)=7 | | 3(x-7)/2+4=16 | | 3a+1=16-2a | | 11(4x-2)=99x | | (2y+1)+(2z+1)=20090 | | (2x+1)+(2y+1)+(2z+1)=20090 | | (2x+1)+(2x+1)+(2x+1)=20090 | | 21m^2+14m+3m+2= | | 12y^2+36y+2y+6= | | d-4=-14 | | (2x+1)+(2x+1)=20090 | | 0.025x+0.06y+0.045z=470 | | x=5x-72 | | 3x-15=2x-8 |

Equations solver categories