5(z-7)+35+3(z-5)=35z+30

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Solution for 5(z-7)+35+3(z-5)=35z+30 equation:


Simplifying
5(z + -7) + 35 + 3(z + -5) = 35z + 30

Reorder the terms:
5(-7 + z) + 35 + 3(z + -5) = 35z + 30
(-7 * 5 + z * 5) + 35 + 3(z + -5) = 35z + 30
(-35 + 5z) + 35 + 3(z + -5) = 35z + 30

Reorder the terms:
-35 + 5z + 35 + 3(-5 + z) = 35z + 30
-35 + 5z + 35 + (-5 * 3 + z * 3) = 35z + 30
-35 + 5z + 35 + (-15 + 3z) = 35z + 30

Reorder the terms:
-35 + 35 + -15 + 5z + 3z = 35z + 30

Combine like terms: -35 + 35 = 0
0 + -15 + 5z + 3z = 35z + 30
-15 + 5z + 3z = 35z + 30

Combine like terms: 5z + 3z = 8z
-15 + 8z = 35z + 30

Reorder the terms:
-15 + 8z = 30 + 35z

Solving
-15 + 8z = 30 + 35z

Solving for variable 'z'.

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

Add '-35z' to each side of the equation.
-15 + 8z + -35z = 30 + 35z + -35z

Combine like terms: 8z + -35z = -27z
-15 + -27z = 30 + 35z + -35z

Combine like terms: 35z + -35z = 0
-15 + -27z = 30 + 0
-15 + -27z = 30

Add '15' to each side of the equation.
-15 + 15 + -27z = 30 + 15

Combine like terms: -15 + 15 = 0
0 + -27z = 30 + 15
-27z = 30 + 15

Combine like terms: 30 + 15 = 45
-27z = 45

Divide each side by '-27'.
z = -1.666666667

Simplifying
z = -1.666666667

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