2(Z-38)=5(Z-59)

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Solution for 2(Z-38)=5(Z-59) equation: 


Simplifying
2(Z + -38) = 5(Z + -59)

Reorder the terms:
2(-38 + Z) = 5(Z + -59)
(-38 * 2 + Z * 2) = 5(Z + -59)
(-76 + 2Z) = 5(Z + -59)

Reorder the terms:
-76 + 2Z = 5(-59 + Z)
-76 + 2Z = (-59 * 5 + Z * 5)
-76 + 2Z = (-295 + 5Z)

Solving
-76 + 2Z = -295 + 5Z

Solving for variable 'Z'.

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

Add '-5Z' to each side of the equation.
-76 + 2Z + -5Z = -295 + 5Z + -5Z

Combine like terms: 2Z + -5Z = -3Z
-76 + -3Z = -295 + 5Z + -5Z

Combine like terms: 5Z + -5Z = 0
-76 + -3Z = -295 + 0
-76 + -3Z = -295

Add '76' to each side of the equation.
-76 + 76 + -3Z = -295 + 76

Combine like terms: -76 + 76 = 0
0 + -3Z = -295 + 76
-3Z = -295 + 76

Combine like terms: -295 + 76 = -219
-3Z = -219

Divide each side by '-3'.
Z = 73

Simplifying
Z = 73

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