6(4z-1)-2(z+4)=15(z+1)

Simple and best practice solution for 6(4z-1)-2(z+4)=15(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)-2(z+4)=15(z+1) equation:


Simplifying
6(4z + -1) + -2(z + 4) = 15(z + 1)

Reorder the terms:
6(-1 + 4z) + -2(z + 4) = 15(z + 1)
(-1 * 6 + 4z * 6) + -2(z + 4) = 15(z + 1)
(-6 + 24z) + -2(z + 4) = 15(z + 1)

Reorder the terms:
-6 + 24z + -2(4 + z) = 15(z + 1)
-6 + 24z + (4 * -2 + z * -2) = 15(z + 1)
-6 + 24z + (-8 + -2z) = 15(z + 1)

Reorder the terms:
-6 + -8 + 24z + -2z = 15(z + 1)

Combine like terms: -6 + -8 = -14
-14 + 24z + -2z = 15(z + 1)

Combine like terms: 24z + -2z = 22z
-14 + 22z = 15(z + 1)

Reorder the terms:
-14 + 22z = 15(1 + z)
-14 + 22z = (1 * 15 + z * 15)
-14 + 22z = (15 + 15z)

Solving
-14 + 22z = 15 + 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
-14 + 22z + -15z = 15 + 15z + -15z

Combine like terms: 22z + -15z = 7z
-14 + 7z = 15 + 15z + -15z

Combine like terms: 15z + -15z = 0
-14 + 7z = 15 + 0
-14 + 7z = 15

Add '14' to each side of the equation.
-14 + 14 + 7z = 15 + 14

Combine like terms: -14 + 14 = 0
0 + 7z = 15 + 14
7z = 15 + 14

Combine like terms: 15 + 14 = 29
7z = 29

Divide each side by '7'.
z = 4.142857143

Simplifying
z = 4.142857143

See similar equations:

| 9x^2=61x+14 | | 7x+8y=-2 | | 10x^2=49x+5 | | 54(2x+8)=180 | | -5(-7+7x)=140 | | y-3=9-y | | 1.4z-0.5=3.7 | | 4(6z-1)-5(z+2)=(z+1) | | -6x+1=41 | | 11x-6-4x+1=9x-8-2x+12 | | 3(2-6x)=4(x+7) | | 1.5d+3.2=9.2 | | 4x^2=12x-9 | | -18x^2-12x+48=0 | | -25x^2+300x=0 | | 3(3-x)+(2x-5)=8-2x+2 | | x(-17)=24 | | 4(6z-1)-5(z+2)=2(2+1) | | 18x^2+12x-48=0 | | 9x-8=3x+2 | | 10x+16=3x+2 | | 6(-p+7)=4p-28 | | x+17=24 | | 6x+7=4x+29 | | .25=.6s | | x^2+y^2-24x+6y+128=0 | | 2x-5=17/5 | | 5x-3x=4+12 | | 24x^2-21x+5=0 | | 5-4n=-7-7n | | 18=3k-3 | | 6(4z-1)-4(z+3)=7(z+1) |

Equations solver categories