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

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


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

Reorder the terms:
6(-1 + 4z) + -3(z + 6) = 5(5z + 1)
(-1 * 6 + 4z * 6) + -3(z + 6) = 5(5z + 1)
(-6 + 24z) + -3(z + 6) = 5(5z + 1)

Reorder the terms:
-6 + 24z + -3(6 + z) = 5(5z + 1)
-6 + 24z + (6 * -3 + z * -3) = 5(5z + 1)
-6 + 24z + (-18 + -3z) = 5(5z + 1)

Reorder the terms:
-6 + -18 + 24z + -3z = 5(5z + 1)

Combine like terms: -6 + -18 = -24
-24 + 24z + -3z = 5(5z + 1)

Combine like terms: 24z + -3z = 21z
-24 + 21z = 5(5z + 1)

Reorder the terms:
-24 + 21z = 5(1 + 5z)
-24 + 21z = (1 * 5 + 5z * 5)
-24 + 21z = (5 + 25z)

Solving
-24 + 21z = 5 + 25z

Solving for variable 'z'.

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

Add '-25z' to each side of the equation.
-24 + 21z + -25z = 5 + 25z + -25z

Combine like terms: 21z + -25z = -4z
-24 + -4z = 5 + 25z + -25z

Combine like terms: 25z + -25z = 0
-24 + -4z = 5 + 0
-24 + -4z = 5

Add '24' to each side of the equation.
-24 + 24 + -4z = 5 + 24

Combine like terms: -24 + 24 = 0
0 + -4z = 5 + 24
-4z = 5 + 24

Combine like terms: 5 + 24 = 29
-4z = 29

Divide each side by '-4'.
z = -7.25

Simplifying
z = -7.25

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