5(z-7)=3(z-5)

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


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

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

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

Solving
-35 + 5z = -15 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-35 + 5z + -3z = -15 + 3z + -3z

Combine like terms: 5z + -3z = 2z
-35 + 2z = -15 + 3z + -3z

Combine like terms: 3z + -3z = 0
-35 + 2z = -15 + 0
-35 + 2z = -15

Add '35' to each side of the equation.
-35 + 35 + 2z = -15 + 35

Combine like terms: -35 + 35 = 0
0 + 2z = -15 + 35
2z = -15 + 35

Combine like terms: -15 + 35 = 20
2z = 20

Divide each side by '2'.
z = 10

Simplifying
z = 10

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