4(6z-1)-5(z+6)=4(z+1)

Simple and best practice solution for 4(6z-1)-5(z+6)=4(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 4(6z-1)-5(z+6)=4(z+1) equation:


Simplifying
4(6z + -1) + -5(z + 6) = 4(z + 1)

Reorder the terms:
4(-1 + 6z) + -5(z + 6) = 4(z + 1)
(-1 * 4 + 6z * 4) + -5(z + 6) = 4(z + 1)
(-4 + 24z) + -5(z + 6) = 4(z + 1)

Reorder the terms:
-4 + 24z + -5(6 + z) = 4(z + 1)
-4 + 24z + (6 * -5 + z * -5) = 4(z + 1)
-4 + 24z + (-30 + -5z) = 4(z + 1)

Reorder the terms:
-4 + -30 + 24z + -5z = 4(z + 1)

Combine like terms: -4 + -30 = -34
-34 + 24z + -5z = 4(z + 1)

Combine like terms: 24z + -5z = 19z
-34 + 19z = 4(z + 1)

Reorder the terms:
-34 + 19z = 4(1 + z)
-34 + 19z = (1 * 4 + z * 4)
-34 + 19z = (4 + 4z)

Solving
-34 + 19z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-34 + 19z + -4z = 4 + 4z + -4z

Combine like terms: 19z + -4z = 15z
-34 + 15z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-34 + 15z = 4 + 0
-34 + 15z = 4

Add '34' to each side of the equation.
-34 + 34 + 15z = 4 + 34

Combine like terms: -34 + 34 = 0
0 + 15z = 4 + 34
15z = 4 + 34

Combine like terms: 4 + 34 = 38
15z = 38

Divide each side by '15'.
z = 2.533333333

Simplifying
z = 2.533333333

See similar equations:

| 2y+8= | | 2x^3-3x^2-6x+11=0 | | 1.5(6x-27)=-4 | | Ln(x+4)=1.5 | | 6x^3-3x^2+6x+11=0 | | 6x^3-3x^2-6x+11=0 | | 3y-6= | | 9x-7y=15 | | 8(2x-1)=2(8x+4) | | 6+3m-4=9m+9-5m | | e^3x-1=21 | | =3y-6 | | 4z+9z=26 | | 36a^2-81=0 | | 1*2*3*4-A(5*6)=-7(8A+4) | | -16x^2+23x-8=0 | | w^2-18w+6= | | 5g=3(h-1) | | 2x-4=13x+6 | | 5x(4x^2-3x+1)= | | y=x^2-3x+3 | | 5g=9h-10 | | 7q=-42 | | ln(x-2)+ln(x-3)=1 | | 18y^2+63=0 | | 5.5q-2.9-5.1q=-0.6q-2.9 | | 19-2x=3x-16 | | 50=x*0.5x | | -3y+9=-4y+7 | | 56=8y-10 | | m-38=-35 | | 6x-48=6 |

Equations solver categories