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

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


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

Reorder the terms:
3(-1 + 6z) + -4(z + 3) = (z + 1)
(-1 * 3 + 6z * 3) + -4(z + 3) = (z + 1)
(-3 + 18z) + -4(z + 3) = (z + 1)

Reorder the terms:
-3 + 18z + -4(3 + z) = (z + 1)
-3 + 18z + (3 * -4 + z * -4) = (z + 1)
-3 + 18z + (-12 + -4z) = (z + 1)

Reorder the terms:
-3 + -12 + 18z + -4z = (z + 1)

Combine like terms: -3 + -12 = -15
-15 + 18z + -4z = (z + 1)

Combine like terms: 18z + -4z = 14z
-15 + 14z = (z + 1)

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

Remove parenthesis around (1 + z)
-15 + 14z = 1 + z

Solving
-15 + 14z = 1 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-15 + 14z + -1z = 1 + z + -1z

Combine like terms: 14z + -1z = 13z
-15 + 13z = 1 + z + -1z

Combine like terms: z + -1z = 0
-15 + 13z = 1 + 0
-15 + 13z = 1

Add '15' to each side of the equation.
-15 + 15 + 13z = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 13z = 1 + 15
13z = 1 + 15

Combine like terms: 1 + 15 = 16
13z = 16

Divide each side by '13'.
z = 1.230769231

Simplifying
z = 1.230769231

See similar equations:

| 4x+6(2x-8)=32 | | 6(x^2+1)+4x=3x+8 | | 4+3G=40 | | 9z^2+15z-4=3z-8 | | x^2+6x-0.5=0 | | 100+75h=150+65h | | (16x^2)+1=3x | | 48x-11=35x+15 | | 2(2x-1)=-2 | | 12x-30=3 | | k-4(4-k)=-2(2k-1)+6k | | 4(3x+2)=3(3x+2) | | 2x+100=5x+55+2 | | 0.5=x^2+6x | | 4(x+6)+5x=69 | | 9.2m+1.4=29 | | 36x=40x^3-4x^3 | | -6=23-2x+5(-5) | | 3+3x=-12+-2x | | 2d-8d+1=9-10d | | 9j-6h=5h+1 | | -5(5+k)=15 | | 6(8+x)=96 | | 3(x-2)4=12 | | y-2=-34 | | 1.4w=1.8w+4.8-0.4w | | .40x+0.15(180)=.20(43) | | 36y-y^3=0 | | -8(1+7x)-7x=307 | | -5v-2=-42 | | 6x+10=3-x | | 0x+0y=4 |

Equations solver categories