4(5z-1)-2(z+8)=15(z+1)

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Solution for 4(5z-1)-2(z+8)=15(z+1) equation:


Simplifying
4(5z + -1) + -2(z + 8) = 15(z + 1)

Reorder the terms:
4(-1 + 5z) + -2(z + 8) = 15(z + 1)
(-1 * 4 + 5z * 4) + -2(z + 8) = 15(z + 1)
(-4 + 20z) + -2(z + 8) = 15(z + 1)

Reorder the terms:
-4 + 20z + -2(8 + z) = 15(z + 1)
-4 + 20z + (8 * -2 + z * -2) = 15(z + 1)
-4 + 20z + (-16 + -2z) = 15(z + 1)

Reorder the terms:
-4 + -16 + 20z + -2z = 15(z + 1)

Combine like terms: -4 + -16 = -20
-20 + 20z + -2z = 15(z + 1)

Combine like terms: 20z + -2z = 18z
-20 + 18z = 15(z + 1)

Reorder the terms:
-20 + 18z = 15(1 + z)
-20 + 18z = (1 * 15 + z * 15)
-20 + 18z = (15 + 15z)

Solving
-20 + 18z = 15 + 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
-20 + 18z + -15z = 15 + 15z + -15z

Combine like terms: 18z + -15z = 3z
-20 + 3z = 15 + 15z + -15z

Combine like terms: 15z + -15z = 0
-20 + 3z = 15 + 0
-20 + 3z = 15

Add '20' to each side of the equation.
-20 + 20 + 3z = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 3z = 15 + 20
3z = 15 + 20

Combine like terms: 15 + 20 = 35
3z = 35

Divide each side by '3'.
z = 11.66666667

Simplifying
z = 11.66666667

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