3[5-4(4-c)]-5=5[3(5c-4)+2]-26

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Solution for 3[5-4(4-c)]-5=5[3(5c-4)+2]-26 equation: 


Simplifying
3[5 + -4(4 + -1c)] + -5 = 5[3(5c + -4) + 2] + -26
3[5 + (4 * -4 + -1c * -4)] + -5 = 5[3(5c + -4) + 2] + -26
3[5 + (-16 + 4c)] + -5 = 5[3(5c + -4) + 2] + -26

Combine like terms: 5 + -16 = -11
3[-11 + 4c] + -5 = 5[3(5c + -4) + 2] + -26
[-11 * 3 + 4c * 3] + -5 = 5[3(5c + -4) + 2] + -26
[-33 + 12c] + -5 = 5[3(5c + -4) + 2] + -26

Reorder the terms:
-33 + -5 + 12c = 5[3(5c + -4) + 2] + -26

Combine like terms: -33 + -5 = -38
-38 + 12c = 5[3(5c + -4) + 2] + -26

Reorder the terms:
-38 + 12c = 5[3(-4 + 5c) + 2] + -26
-38 + 12c = 5[(-4 * 3 + 5c * 3) + 2] + -26
-38 + 12c = 5[(-12 + 15c) + 2] + -26

Reorder the terms:
-38 + 12c = 5[-12 + 2 + 15c] + -26

Combine like terms: -12 + 2 = -10
-38 + 12c = 5[-10 + 15c] + -26
-38 + 12c = [-10 * 5 + 15c * 5] + -26
-38 + 12c = [-50 + 75c] + -26

Reorder the terms:
-38 + 12c = -50 + -26 + 75c

Combine like terms: -50 + -26 = -76
-38 + 12c = -76 + 75c

Solving
-38 + 12c = -76 + 75c

Solving for variable 'c'.

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

Add '-75c' to each side of the equation.
-38 + 12c + -75c = -76 + 75c + -75c

Combine like terms: 12c + -75c = -63c
-38 + -63c = -76 + 75c + -75c

Combine like terms: 75c + -75c = 0
-38 + -63c = -76 + 0
-38 + -63c = -76

Add '38' to each side of the equation.
-38 + 38 + -63c = -76 + 38

Combine like terms: -38 + 38 = 0
0 + -63c = -76 + 38
-63c = -76 + 38

Combine like terms: -76 + 38 = -38
-63c = -38

Divide each side by '-63'.
c = 0.6031746032

Simplifying
c = 0.6031746032

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