5[7-5(6-z)]-7=7[5(7z-6)+4]-50

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Solution for 5[7-5(6-z)]-7=7[5(7z-6)+4]-50 equation: 


Simplifying
5[7 + -5(6 + -1z)] + -7 = 7[5(7z + -6) + 4] + -50
5[7 + (6 * -5 + -1z * -5)] + -7 = 7[5(7z + -6) + 4] + -50
5[7 + (-30 + 5z)] + -7 = 7[5(7z + -6) + 4] + -50

Combine like terms: 7 + -30 = -23
5[-23 + 5z] + -7 = 7[5(7z + -6) + 4] + -50
[-23 * 5 + 5z * 5] + -7 = 7[5(7z + -6) + 4] + -50
[-115 + 25z] + -7 = 7[5(7z + -6) + 4] + -50

Reorder the terms:
-115 + -7 + 25z = 7[5(7z + -6) + 4] + -50

Combine like terms: -115 + -7 = -122
-122 + 25z = 7[5(7z + -6) + 4] + -50

Reorder the terms:
-122 + 25z = 7[5(-6 + 7z) + 4] + -50
-122 + 25z = 7[(-6 * 5 + 7z * 5) + 4] + -50
-122 + 25z = 7[(-30 + 35z) + 4] + -50

Reorder the terms:
-122 + 25z = 7[-30 + 4 + 35z] + -50

Combine like terms: -30 + 4 = -26
-122 + 25z = 7[-26 + 35z] + -50
-122 + 25z = [-26 * 7 + 35z * 7] + -50
-122 + 25z = [-182 + 245z] + -50

Reorder the terms:
-122 + 25z = -182 + -50 + 245z

Combine like terms: -182 + -50 = -232
-122 + 25z = -232 + 245z

Solving
-122 + 25z = -232 + 245z

Solving for variable 'z'.

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

Add '-245z' to each side of the equation.
-122 + 25z + -245z = -232 + 245z + -245z

Combine like terms: 25z + -245z = -220z
-122 + -220z = -232 + 245z + -245z

Combine like terms: 245z + -245z = 0
-122 + -220z = -232 + 0
-122 + -220z = -232

Add '122' to each side of the equation.
-122 + 122 + -220z = -232 + 122

Combine like terms: -122 + 122 = 0
0 + -220z = -232 + 122
-220z = -232 + 122

Combine like terms: -232 + 122 = -110
-220z = -110

Divide each side by '-220'.
z = 0.5

Simplifying
z = 0.5

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