5[7-5(6-z)]-7=5[5(7z-6)+4]-60

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Solution for 5[7-5(6-z)]-7=5[5(7z-6)+4]-60 equation: 


Simplifying
5[7 + -5(6 + -1z)] + -7 = 5[5(7z + -6) + 4] + -60
5[7 + (6 * -5 + -1z * -5)] + -7 = 5[5(7z + -6) + 4] + -60
5[7 + (-30 + 5z)] + -7 = 5[5(7z + -6) + 4] + -60

Combine like terms: 7 + -30 = -23
5[-23 + 5z] + -7 = 5[5(7z + -6) + 4] + -60
[-23 * 5 + 5z * 5] + -7 = 5[5(7z + -6) + 4] + -60
[-115 + 25z] + -7 = 5[5(7z + -6) + 4] + -60

Reorder the terms:
-115 + -7 + 25z = 5[5(7z + -6) + 4] + -60

Combine like terms: -115 + -7 = -122
-122 + 25z = 5[5(7z + -6) + 4] + -60

Reorder the terms:
-122 + 25z = 5[5(-6 + 7z) + 4] + -60
-122 + 25z = 5[(-6 * 5 + 7z * 5) + 4] + -60
-122 + 25z = 5[(-30 + 35z) + 4] + -60

Reorder the terms:
-122 + 25z = 5[-30 + 4 + 35z] + -60

Combine like terms: -30 + 4 = -26
-122 + 25z = 5[-26 + 35z] + -60
-122 + 25z = [-26 * 5 + 35z * 5] + -60
-122 + 25z = [-130 + 175z] + -60

Reorder the terms:
-122 + 25z = -130 + -60 + 175z

Combine like terms: -130 + -60 = -190
-122 + 25z = -190 + 175z

Solving
-122 + 25z = -190 + 175z

Solving for variable 'z'.

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

Add '-175z' to each side of the equation.
-122 + 25z + -175z = -190 + 175z + -175z

Combine like terms: 25z + -175z = -150z
-122 + -150z = -190 + 175z + -175z

Combine like terms: 175z + -175z = 0
-122 + -150z = -190 + 0
-122 + -150z = -190

Add '122' to each side of the equation.
-122 + 122 + -150z = -190 + 122

Combine like terms: -122 + 122 = 0
0 + -150z = -190 + 122
-150z = -190 + 122

Combine like terms: -190 + 122 = -68
-150z = -68

Divide each side by '-150'.
z = 0.4533333333

Simplifying
z = 0.4533333333

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