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

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


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

Reorder the terms:
5(-3 + z) = 7(z + -5)
(-3 * 5 + z * 5) = 7(z + -5)
(-15 + 5z) = 7(z + -5)

Reorder the terms:
-15 + 5z = 7(-5 + z)
-15 + 5z = (-5 * 7 + z * 7)
-15 + 5z = (-35 + 7z)

Solving
-15 + 5z = -35 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-15 + 5z + -7z = -35 + 7z + -7z

Combine like terms: 5z + -7z = -2z
-15 + -2z = -35 + 7z + -7z

Combine like terms: 7z + -7z = 0
-15 + -2z = -35 + 0
-15 + -2z = -35

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

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

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

Divide each side by '-2'.
z = 10

Simplifying
z = 10

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