6(4z-1)-3(z+2)=17(z+1)

Simple and best practice solution for 6(4z-1)-3(z+2)=17(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 6(4z-1)-3(z+2)=17(z+1) equation:


Simplifying
6(4z + -1) + -3(z + 2) = 17(z + 1)

Reorder the terms:
6(-1 + 4z) + -3(z + 2) = 17(z + 1)
(-1 * 6 + 4z * 6) + -3(z + 2) = 17(z + 1)
(-6 + 24z) + -3(z + 2) = 17(z + 1)

Reorder the terms:
-6 + 24z + -3(2 + z) = 17(z + 1)
-6 + 24z + (2 * -3 + z * -3) = 17(z + 1)
-6 + 24z + (-6 + -3z) = 17(z + 1)

Reorder the terms:
-6 + -6 + 24z + -3z = 17(z + 1)

Combine like terms: -6 + -6 = -12
-12 + 24z + -3z = 17(z + 1)

Combine like terms: 24z + -3z = 21z
-12 + 21z = 17(z + 1)

Reorder the terms:
-12 + 21z = 17(1 + z)
-12 + 21z = (1 * 17 + z * 17)
-12 + 21z = (17 + 17z)

Solving
-12 + 21z = 17 + 17z

Solving for variable 'z'.

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

Add '-17z' to each side of the equation.
-12 + 21z + -17z = 17 + 17z + -17z

Combine like terms: 21z + -17z = 4z
-12 + 4z = 17 + 17z + -17z

Combine like terms: 17z + -17z = 0
-12 + 4z = 17 + 0
-12 + 4z = 17

Add '12' to each side of the equation.
-12 + 12 + 4z = 17 + 12

Combine like terms: -12 + 12 = 0
0 + 4z = 17 + 12
4z = 17 + 12

Combine like terms: 17 + 12 = 29
4z = 29

Divide each side by '4'.
z = 7.25

Simplifying
z = 7.25

See similar equations:

| -9x^2-198x+108=0 | | 200=16t^2 | | 6x+12=-20-10x | | 6x^2+19x-7= | | 14x-48=92 | | n^2=576 | | 119-3x=4x+14 | | y^2=676 | | 16x-81=0 | | 18x^2-12x+2=0 | | 2x+8=-3x-2 | | 109-5x=10x+1 | | a^2-b^2=0 | | x+12=45 | | 2x-10=-2 | | 6x-42=0 | | x^2=16x-13 | | 16y^2+25=0 | | 3a+17=68 | | (28b-5)-9(3b+3)=-5 | | 2x+16=33 | | 6n^2+7n=20 | | 5x-(4x+7)=1 | | 2x+5=15x+9 | | 3d^2+11d+6=0 | | 9x+2y=-12 | | 9-10x=29 | | 3x+2y=4689 | | 7x+6x+2+8=10x+5+2x | | (2*5)2+6*5= | | k^2+9k=10 | | -4(-5-3z)=13z |

Equations solver categories