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

Solution for 4(5z-1)-2(z+3)=3(z+1) equation:

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

Reorder the terms:
4(-1 + 5z) + -2(z + 3) = 3(z + 1)
(-1 * 4 + 5z * 4) + -2(z + 3) = 3(z + 1)
(-4 + 20z) + -2(z + 3) = 3(z + 1)

Reorder the terms:
-4 + 20z + -2(3 + z) = 3(z + 1)
-4 + 20z + (3 * -2 + z * -2) = 3(z + 1)
-4 + 20z + (-6 + -2z) = 3(z + 1)

Reorder the terms:
-4 + -6 + 20z + -2z = 3(z + 1)

Combine like terms: -4 + -6 = -10
-10 + 20z + -2z = 3(z + 1)

Combine like terms: 20z + -2z = 18z
-10 + 18z = 3(z + 1)

Reorder the terms:
-10 + 18z = 3(1 + z)
-10 + 18z = (1 * 3 + z * 3)
-10 + 18z = (3 + 3z)

Solving
-10 + 18z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-10 + 18z + -3z = 3 + 3z + -3z

Combine like terms: 18z + -3z = 15z
-10 + 15z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-10 + 15z = 3 + 0
-10 + 15z = 3

Add '10' to each side of the equation.
-10 + 10 + 15z = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 15z = 3 + 10
15z = 3 + 10

Combine like terms: 3 + 10 = 13
15z = 13

Divide each side by '15'.
z = 0.8666666667

Simplifying
z = 0.8666666667