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

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


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

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

Reorder the terms:
-4 + 12z + -3(2 + z) = 3(z + 1)
-4 + 12z + (2 * -3 + z * -3) = 3(z + 1)
-4 + 12z + (-6 + -3z) = 3(z + 1)

Reorder the terms:
-4 + -6 + 12z + -3z = 3(z + 1)

Combine like terms: -4 + -6 = -10
-10 + 12z + -3z = 3(z + 1)

Combine like terms: 12z + -3z = 9z
-10 + 9z = 3(z + 1)

Reorder the terms:
-10 + 9z = 3(1 + z)
-10 + 9z = (1 * 3 + z * 3)
-10 + 9z = (3 + 3z)

Solving
-10 + 9z = 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 + 9z + -3z = 3 + 3z + -3z

Combine like terms: 9z + -3z = 6z
-10 + 6z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-10 + 6z = 3 + 0
-10 + 6z = 3

Add '10' to each side of the equation.
-10 + 10 + 6z = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 6z = 3 + 10
6z = 3 + 10

Combine like terms: 3 + 10 = 13
6z = 13

Divide each side by '6'.
z = 2.166666667

Simplifying
z = 2.166666667

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