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

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


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

Reorder the terms:
5(-1 + 3z) + -3(z + 8) = 2(z + 1)
(-1 * 5 + 3z * 5) + -3(z + 8) = 2(z + 1)
(-5 + 15z) + -3(z + 8) = 2(z + 1)

Reorder the terms:
-5 + 15z + -3(8 + z) = 2(z + 1)
-5 + 15z + (8 * -3 + z * -3) = 2(z + 1)
-5 + 15z + (-24 + -3z) = 2(z + 1)

Reorder the terms:
-5 + -24 + 15z + -3z = 2(z + 1)

Combine like terms: -5 + -24 = -29
-29 + 15z + -3z = 2(z + 1)

Combine like terms: 15z + -3z = 12z
-29 + 12z = 2(z + 1)

Reorder the terms:
-29 + 12z = 2(1 + z)
-29 + 12z = (1 * 2 + z * 2)
-29 + 12z = (2 + 2z)

Solving
-29 + 12z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-29 + 12z + -2z = 2 + 2z + -2z

Combine like terms: 12z + -2z = 10z
-29 + 10z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-29 + 10z = 2 + 0
-29 + 10z = 2

Add '29' to each side of the equation.
-29 + 29 + 10z = 2 + 29

Combine like terms: -29 + 29 = 0
0 + 10z = 2 + 29
10z = 2 + 29

Combine like terms: 2 + 29 = 31
10z = 31

Divide each side by '10'.
z = 3.1

Simplifying
z = 3.1

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