5(5z+7)-6(2z-7)=103

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Solution for 5(5z+7)-6(2z-7)=103 equation:


Simplifying
5(5z + 7) + -6(2z + -7) = 103

Reorder the terms:
5(7 + 5z) + -6(2z + -7) = 103
(7 * 5 + 5z * 5) + -6(2z + -7) = 103
(35 + 25z) + -6(2z + -7) = 103

Reorder the terms:
35 + 25z + -6(-7 + 2z) = 103
35 + 25z + (-7 * -6 + 2z * -6) = 103
35 + 25z + (42 + -12z) = 103

Reorder the terms:
35 + 42 + 25z + -12z = 103

Combine like terms: 35 + 42 = 77
77 + 25z + -12z = 103

Combine like terms: 25z + -12z = 13z
77 + 13z = 103

Solving
77 + 13z = 103

Solving for variable 'z'.

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

Add '-77' to each side of the equation.
77 + -77 + 13z = 103 + -77

Combine like terms: 77 + -77 = 0
0 + 13z = 103 + -77
13z = 103 + -77

Combine like terms: 103 + -77 = 26
13z = 26

Divide each side by '13'.
z = 2

Simplifying
z = 2

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