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

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


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

Reorder the terms:
3(-1 + 4z) + -2(z + 9) = 5(z + 1)
(-1 * 3 + 4z * 3) + -2(z + 9) = 5(z + 1)
(-3 + 12z) + -2(z + 9) = 5(z + 1)

Reorder the terms:
-3 + 12z + -2(9 + z) = 5(z + 1)
-3 + 12z + (9 * -2 + z * -2) = 5(z + 1)
-3 + 12z + (-18 + -2z) = 5(z + 1)

Reorder the terms:
-3 + -18 + 12z + -2z = 5(z + 1)

Combine like terms: -3 + -18 = -21
-21 + 12z + -2z = 5(z + 1)

Combine like terms: 12z + -2z = 10z
-21 + 10z = 5(z + 1)

Reorder the terms:
-21 + 10z = 5(1 + z)
-21 + 10z = (1 * 5 + z * 5)
-21 + 10z = (5 + 5z)

Solving
-21 + 10z = 5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-21 + 10z + -5z = 5 + 5z + -5z

Combine like terms: 10z + -5z = 5z
-21 + 5z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-21 + 5z = 5 + 0
-21 + 5z = 5

Add '21' to each side of the equation.
-21 + 21 + 5z = 5 + 21

Combine like terms: -21 + 21 = 0
0 + 5z = 5 + 21
5z = 5 + 21

Combine like terms: 5 + 21 = 26
5z = 26

Divide each side by '5'.
z = 5.2

Simplifying
z = 5.2

See similar equations:

| 4(4y+3)-2y=5 | | 25-9x-3+5x=7x-19-2x-22 | | (X^2)-1=0 | | 4+13x=21-9x | | 3x+8y-5x-y= | | (9D^3-7D+2)y=0 | | 3(2a+5b)-2(4a-2b)= | | 215-6x=30x+23 | | 10-10x=34-17x | | x^2-4*x+12=0 | | 3x+6+42=180 | | 4x-3-7x=9-6x | | 108+4x=180 | | 2y^2+5y-35=0 | | -7(n-4)+2(n+1)= | | (-.0072(x)+103.67)-(873.8232x-.3508)=0 | | (D^3+3D^2-4D-12)y=0 | | (1.8-0.4x)=-x | | x^2-20*x+q=0 | | (1.8-0.4x)+(-x)=0 | | 36m^2-4=0 | | (1.8+0.4x)+(-x)+(2x-2)=0 | | 5q+17=7 | | 7t-22=5t+8 | | 2x-5=27whatsx | | X^2-4x+13=0 | | ln(x+6)+ln(x-5)-ln(x-4)=ln(x-6) | | x^2+12x+104=0 | | 3x^2+54x-348=0 | | 4x^2+8=140 | | 2(1-x)=4(x-1) | | 18n-9= |

Equations solver categories