2(z+3)-5(6-z)=8(3z+3)-4(1-2z)

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Solution for 2(z+3)-5(6-z)=8(3z+3)-4(1-2z) equation: 


Simplifying
2(z + 3) + -5(6 + -1z) = 8(3z + 3) + -4(1 + -2z)

Reorder the terms:
2(3 + z) + -5(6 + -1z) = 8(3z + 3) + -4(1 + -2z)
(3 * 2 + z * 2) + -5(6 + -1z) = 8(3z + 3) + -4(1 + -2z)
(6 + 2z) + -5(6 + -1z) = 8(3z + 3) + -4(1 + -2z)
6 + 2z + (6 * -5 + -1z * -5) = 8(3z + 3) + -4(1 + -2z)
6 + 2z + (-30 + 5z) = 8(3z + 3) + -4(1 + -2z)

Reorder the terms:
6 + -30 + 2z + 5z = 8(3z + 3) + -4(1 + -2z)

Combine like terms: 6 + -30 = -24
-24 + 2z + 5z = 8(3z + 3) + -4(1 + -2z)

Combine like terms: 2z + 5z = 7z
-24 + 7z = 8(3z + 3) + -4(1 + -2z)

Reorder the terms:
-24 + 7z = 8(3 + 3z) + -4(1 + -2z)
-24 + 7z = (3 * 8 + 3z * 8) + -4(1 + -2z)
-24 + 7z = (24 + 24z) + -4(1 + -2z)
-24 + 7z = 24 + 24z + (1 * -4 + -2z * -4)
-24 + 7z = 24 + 24z + (-4 + 8z)

Reorder the terms:
-24 + 7z = 24 + -4 + 24z + 8z

Combine like terms: 24 + -4 = 20
-24 + 7z = 20 + 24z + 8z

Combine like terms: 24z + 8z = 32z
-24 + 7z = 20 + 32z

Solving
-24 + 7z = 20 + 32z

Solving for variable 'z'.

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

Add '-32z' to each side of the equation.
-24 + 7z + -32z = 20 + 32z + -32z

Combine like terms: 7z + -32z = -25z
-24 + -25z = 20 + 32z + -32z

Combine like terms: 32z + -32z = 0
-24 + -25z = 20 + 0
-24 + -25z = 20

Add '24' to each side of the equation.
-24 + 24 + -25z = 20 + 24

Combine like terms: -24 + 24 = 0
0 + -25z = 20 + 24
-25z = 20 + 24

Combine like terms: 20 + 24 = 44
-25z = 44

Divide each side by '-25'.
z = -1.76

Simplifying
z = -1.76

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