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

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


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

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

Reorder the terms:
-115 + 25x = 7[5(-6 + 7x) + 4] + -50
-115 + 25x = 7[(-6 * 5 + 7x * 5) + 4] + -50
-115 + 25x = 7[(-30 + 35x) + 4] + -50

Reorder the terms:
-115 + 25x = 7[-30 + 4 + 35x] + -50

Combine like terms: -30 + 4 = -26
-115 + 25x = 7[-26 + 35x] + -50
-115 + 25x = [-26 * 7 + 35x * 7] + -50
-115 + 25x = [-182 + 245x] + -50

Reorder the terms:
-115 + 25x = -182 + -50 + 245x

Combine like terms: -182 + -50 = -232
-115 + 25x = -232 + 245x

Solving
-115 + 25x = -232 + 245x

Solving for variable 'x'.

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

Add '-245x' to each side of the equation.
-115 + 25x + -245x = -232 + 245x + -245x

Combine like terms: 25x + -245x = -220x
-115 + -220x = -232 + 245x + -245x

Combine like terms: 245x + -245x = 0
-115 + -220x = -232 + 0
-115 + -220x = -232

Add '115' to each side of the equation.
-115 + 115 + -220x = -232 + 115

Combine like terms: -115 + 115 = 0
0 + -220x = -232 + 115
-220x = -232 + 115

Combine like terms: -232 + 115 = -117
-220x = -117

Divide each side by '-220'.
x = 0.5318181818

Simplifying
x = 0.5318181818

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